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
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