What are the solutions to the equation completesquare x^2+16x ?

The solutions to the equation completesquare x^2+16x are (x+8)^2-64

Find the zeros of completesquare x^2+16x

The zeros of completesquare x^2+16x are (x+8)^2-64

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complete the square

x^{2} + 16 x

(x + 8)^{2} - 64

Solution steps

x^{2} + 16 x

Write

x^{2} + 16 x

in the form:

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

2 a = 16 : a = 8

Add and subtract

8^{2}

x^{2} + 16 x + 8^{2} - 8^{2}

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

x^{2} + 16 x + 8^{2} = (x + 8)^{2}

(x + 8)^{2} - 8^{2}

Simplify

(x + 8)^{2} - 64

4 x^{2} - 36 x = - 85

5 x^{2} + 2 x - 1 = 0

4 x^{2} + 9 = - 4 x

- 6 x^{2} + 103 x - 17 = 0

n^{2} - 6 = - n

What are the solutions to the equation completesquare x^2+16x ?
The solutions to the equation completesquare x^2+16x are (x+8)^2-64
Find the zeros of completesquare x^2+16x
The zeros of completesquare x^2+16x are (x+8)^2-64