Question

4x^2+20x+25 completing the square

Answer 1

is there a answer choice

Answer 2

4x^2+20x+25
Move the non-x term to the right
4x^2 +20x = -25
Divide equation by coefficient of x^2
x^2 +5x = -6.25

* take the coefficient of X
* divide it by 2
* square that number
* then add it to both sides of the equation.

Coefficient of x = 5 so
5/2 = 2.5
2.5^2 = 6.25

Adding 6.25 to both sides of the equation:
x^2 +5x +6.25 = -6.25 + 6.25
x^2 +5x +6.25 = 0

Take the square root of both sides
(x +2.5) * (x +2.5) = 0
x = -2.5
x = -2.5

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