What are the solutions to the equation completesquare x^2+20x ?

The solutions to the equation completesquare x^2+20x are (x+10)^2-100

Find the zeros of completesquare x^2+20x

The zeros of completesquare x^2+20x are (x+10)^2-100

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complete the square

x^{2} + 20 x

(x + 10)^{2} - 100

Solution steps

x^{2} + 20 x

Write

x^{2} + 20 x

in the form:

x^{2} + 2 a x + a^{2}

2 a = 20 : a = 10

Add and subtract

1 0^{2}

x^{2} + 20 x + 1 0^{2} - 1 0^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 20 x + 1 0^{2} = (x + 10)^{2}

(x + 10)^{2} - 1 0^{2}

Simplify

(x + 10)^{2} - 100

4 x^{2} - 24 x + 37 = 0

(p - 4)^{2} = 49

10 x^{2} - 40 = 0

4 (x + 9)^{2} + 8 = 32

(x - 1) (x - 5) = - 3

What are the solutions to the equation completesquare x^2+20x ?
The solutions to the equation completesquare x^2+20x are (x+10)^2-100
Find the zeros of completesquare x^2+20x
The zeros of completesquare x^2+20x are (x+10)^2-100