The identity (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

Answers

Answer 1

Answer:

The triple are: 48, 55 and 73

Step-by-step explanation:

Given

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

[tex]x = 8; y=3[/tex]

Required

The Pythagorean triple

We have:

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

Substitute: [tex]x = 8; y=3[/tex]

[tex](8^2 + 3^2)^2 = (8^2 - 3^2)^2 + (2*8*3)^2[/tex]

[tex](64 + 9)^2 = (64 - 9)^2 + (48)^2[/tex]

[tex](73)^2 = (55)^2 + (48)^2[/tex]

[tex]5329 = 5329[/tex]

Hence, the triple are: 48, 55 and 73


Related Questions

20 POINTS HELP FAST
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?

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Sample 1
Sample 2
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24
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StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
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its D.

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

A. 12.7

Step-by-step explanation:

If line a is parallel to line b, therefore,

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Divide both sides by 2

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The answer is 7

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

plugging in our numbers we get

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Answers

Answer:

[tex] (-2)^{4} [/tex]

Step-by-step explanation:

(-2)(-2)(-2)(-2)

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Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
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Answers

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Answers

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

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Answers

Answer:

6

Step-by-step explanation:

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Answers

Answer:

$15487.5

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

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[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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