What are the solutions to the equation completesquare x^2+8x-1 ?

The solutions to the equation completesquare x^2+8x-1 are (x+4)^2-17

Find the zeros of completesquare x^2+8x-1

The zeros of completesquare x^2+8x-1 are (x+4)^2-17

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complete the square

x^{2} + 8 x - 1

(x + 4)^{2} - 17

Solution steps

x^{2} + 8 x - 1

Write

x^{2} + 8 x - 1

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x - 1 + 4^{2} - 4^{2}

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

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

(x + 4)^{2} - 1 - 4^{2}

Simplify

(x + 4)^{2} - 17

x^{2} + 8 x - 9

x, x^{2} + y^{2} - 6 x - 4 y - z + 5 = 0

- z^{2} + 9 z - 20 = 0

100 = - 16 t^{2} + 96 t

n^{2} + 20 n + 400 = 925

What are the solutions to the equation completesquare x^2+8x-1 ?
The solutions to the equation completesquare x^2+8x-1 are (x+4)^2-17
Find the zeros of completesquare x^2+8x-1
The zeros of completesquare x^2+8x-1 are (x+4)^2-17