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sesenic [268]
2 years ago
8

Find the equation that results from completing the square in the following equation. x^2−20x+75=0

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

The equation that results from completing the square in the following equation. x^2−20x+75=0 is (x+2)^2 = 10

<h3>What is completing the squares method for solving the quadratic equations in one variable?</h3>

The method "completing the squares", as per the name suggests, try to make the quadratic equation of the form such that the x variable is totally covered in single squared term, as the square of a linear expression in x.

GIven;

x^2−20x+75=0

Subtract 75 from each side

x^2−20x+75 - 75 = -75

Take the coefficient of x

20

Divide by 2

10

Square it

100

Add it to each side

x^2 +5x + 100 = -75 + 100

(x+2)^2 = 10

Take the square root of each side

x+2 = 10

x = 8

Learn more about this concept here;

brainly.com/question/23364759

#SPJ1

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Answer:

a. Required system of equations is:

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