Solve the following quadratic equation for all values of x in simplest form.

Solve The Following Quadratic Equation For All Values Of X In Simplest Form.

Answers

Answer 1

Answer:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

Step-by-step explanation:

Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].

[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].

Factor out the 5, then isolate [tex]x^2[/tex]:

[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].

Therefore, the solutions to this quadratic are:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]


Related Questions

Determine the solution to the system of equations:
y = 3x +4
y = 2x + 1

Answers

Answer:(-3,-5)

Step-by-step explanation:

Amanda is choosing between two cells phones plans plan a cost 15+0.08 per minute plan B cost 35 for unlimited calling X represent the number of minutes calling the time and why represents the total cost of the calling plan which system of equations could represent The scenario

Answers

Answer:

y = 15 + 0.08x

y = $35

Step-by-step explanation:

Given :

Plan A:

Flat rate = $15

Cost per minute = 0.08

Let x = number of minutes

Total. Cost = flat fee + (per minute charge * number of minutes)

y = 15 + 0.08x

Plan B:

$35 unlimited calling

Total cost, yregardless of minutes used :

y = $35

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.

Answers

Answer: yes Jim is correct

Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

What is a quadrilateral?

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.

If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .

The diagram is given below.

From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

More about the quadrilateral link is given below.

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HELP PLEASEEEEEEEEEE

Answers

Answer: 1/125

Step-by-step explanation:

first, i multiplied it.

1/5^3

then, it's easy to evaluate from there.

1/125

Calculate the slope.
(-12,-5) and (0, -8)

Answers

Answer:

-1/4

Step-by-step explanation:

slope is always rise/run so

(-8)-(-5)=-3

-3/12=-1/4

the slope is -1/4

Enjoy^^

(-81) + 70=
Uhhhh answer someone-

Answers

Answer:

-11

Step-by-step explanation:

M is a multiple of 26. Which of the following cannot be true?

A. M is odd
B. M is a multiple of 3
C. M is 26
D. M is zero

Answers

B. M is a multiple of 3

(3,8) (9,0) find the slope

Answers

m= -8/6 = -4/3 which can go to -1.3 but u can keep it as a fraction if it needs to be

what would 5,445 time 5,554 be

Answers

Answer:

30241530

Step-by-step explanation:

Which answer is correct ?????

Answers

Answer:

D

Step-by-step explanation:

The answer is

y = .613x + 4.142

this function has answer of d

Answer:

the first option..

Step-by-step explanation:

substitute the x values in the table for "x" in the equation and solve

Can someone pls help me!!

A. 5 inches
B. 16 inches
C. 13 inches
D. 19 inches

Answers

Answer:

c. 13

Step-by-step explanation:

[tex]c=\sqrt{a^{2}+b^{2}} = \sqrt{12^{2}+4^{2}}[/tex] ≈ [tex]12.64911[/tex] ≈ [tex]13[/tex]

Solve the system of linear equations by substitution.
3x + y = -9
y=5x+7

Answers

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12​

Answers

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

The function G(t) = 2t represents the number of guitar lessons, G(t) you can complete in T months. How many guitar lessons can you complete in seven months

Answers

Answer:

14 lessons can be completed

Step-by-step explanation:

From the question, to get the number of lessons that can be completed, we simply multiply the number of months by 2

Thus, we have that;

G(2) = 2 * 7

G(2) = 14 lessons

A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 164 cats. If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.

Answers

200 >= 164 + 4x
>= is greater than or equal to

PLEASE SOMONE HELP ME PLEASE I NEED HELP I BEG OF YOU

Answers

Answer:

48 feet

Step-by-step explanation:

So first find the amount of fence they would need in terms of x, which would be (x - 2) + (3x - 1) + (5x + 8) + (3x - 1) + (x - 2). Then, you know these add up to 106 so you get the equation:

[tex]x-2+3x-1+5x+8+3x-1+x-2 = 106[/tex]

Now, you just have to solve.

First, combine like terms

[tex]13x + 2 = 106[/tex]

Then, subtract 2 from both sides

[tex]13x = 104[/tex]

Next, divide both sides by 13.

[tex]x = 8[/tex]

The last step is to find the length of 5x + 8 by substituting x = 8 in

[tex]5*8+8=40+8=48[/tex]

What is the value of this expression when g=-3.5?
8 - 12g-51
A.
20
B.
10
O
C. 6
OD.
-4

Answers

Answer:

The value of the expression 8 - I2g - 5I is -4 D

Step-by-step explanation:

The absolute value always gives a positive value IaI = a and I-aI = a

Let us solve the question

∵ The expression is 8 - I2g - 5I

∵ The value of g is g = -3.5

→ To find the value of the expression substitute g by -3.5

∵ 8 - I2g - 5I = 8 - I2(-3.5) - 5I

∴ 8 - I2g - 5I = 8 - I-7 - 5I

∴ 8 - I2g - 5I = 8 - I-12I

→ By using the rule above

I-12I = 12

∴ 8 - I2g - 5I = 8 - 12

8 - I2g - 5I = -4

The value of the expression 8 - I2g - 5I is -4

what is 5x + 2 - 4x +3

Answers

7 x -4x =3x 3x+3= 6x

please help and show work if you can ​

Answers

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10

The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?

Answers

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

Simplify the polynomial using multiplication.

−5b(2a−3a2)


−10a+3ba^2

−10ba+15ba^2

−5b+2a−3a^2

10ba−15ba^2

Answers

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

To learn more about the multiplication of polynomials visit:

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36 ft
27 ft
What is the length of the hypotenuse?
C
feet

Answers

36^2 + 27^2 = C^2
1296 + 729 = C^2
2025 = C^2
C = 45
45 feet is the length of the hypotenuse
Have a great day!!

Brittney attempted to order a set of numbers from least to greatest
-2.9 72/80 2.979 3 1/5 π
what does Brittney need to do to make the order correct?

Answers

She needs to convert all the numbers be be the same type ( fraction or decimal).

With the numbers she has it would be easiest to convert all the numbers to decimals.

72/80 = 0.9

3 1/5 = 3.3

Pi = 3.14

Now she can arrange the decimals in order:

-2.9, 0.9, 2.979, 3.14, 3.2

She needs to switch 3 1/5 and pi

Answer:

3 1/5 is tha one

Step-by-step explanation:

Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x

(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.

Answers

Answer:

d is the answer

Step-by-step explanation:

If quadrilateral ABCD is translated 3 units to the left and 5 units down, what are the coordinates of point B after the translation?
options:
(3, 15)

(-2, -2)

(1, 3)

(-4, 0)

Answers

B translates to (-2,-2). You just start at B and count 3 units to the left (-2) and then go 5 units down (-2).

Cara has driven one-fifth of the total distance, d, to her destination.


Which statement explains why both 1/5d and 0.2d can find the distance she has driven?




Multiplying by 1/5 is the same as multiplying by 20%.

Multiplying by 1/5 is the same as multiplying by 2%.

The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.

The expressions are not equivalent.

Answers

Answer:

I dont even know man I wish I knew too

Plz help u will get branliest!

Answers

For #2, the answers could be 4/6 or 6/9

For #3, the answers could be 2/4 or 3/6

For #4, the answers could be 8/10 or 16/20

For #5, they both equal each other

For #6, they both do not equal each other

For #7, they both do not equal each other

For #8, they both equal each other

For #9, they both equal each other

For #10, they both do not equal each other

For #11, they both equal each other

For #12, they both do not equal each other

I think #13 can be 1/3 and 2/6 since 4/12 is vanilla

I don’t know #14


Select the correct answer.
In which table does y vary directly with x?

Answers

Answer:

Option C.

Step-by-step explanation:

y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as

y = 26x

Peter's recipe for lemonade makes 48 cups of the drink. Which equation can be used
to find how many gallons of lemonade Peter's recipe makes?

Answers

Answer:

c i think

Step-by-step explanation:

The equation can be used to find how many gallons of lemonade Peter's recipe makes is 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt = 3 gal.

What is Unit Conversion?

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

1 Cups = 0.0625 Galloon.

Peter make 48 cups of drink.

So, 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt

= 24 pt x 1 qt / 2 pt x 1 gal / 4 qt

= 3 gal

Hence, 48 cups of the drink.

Learn more about Unit Conversion here:

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i dont understand this question

Answers

a) n=15
b) 180000 kilometers (im not sure if thats right)
c) 5/13 ?
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