One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.

Answer:

c=5b-25

Step-by-step explanation:

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The value of c in terms of b is 5b - 25

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

Example:

x² + 3x + 9 is an equation.

x³ + 6x² + 6x + 8 is an equation.

We have,

x² - bx + c = 0

One of the roots of this equation is 5.

This means,

5² - 5b + c = 0

25 - 5b + c = 0

Adding 5b on both sides.

25 + c = 5b

Subtracting 25 on both sides.

c = 5b - 25

Thus,

The value of c in terms of b is 5b - 25

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