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

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

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

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

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complete the square

x^{2} - 8 x + 8

(x - 4)^{2} - 8

Solution steps

x^{2} - 8 x + 8

Write

x^{2} - 8 x + 8

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

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

Simplify

(x - 4)^{2} - 8

2 x^{2} + 4 x

x^{2} + x - 30

3 + 8 x + 2 x^{2} + 8 x - 42 = 8 x + 3

(x + 5)^{2} = 10 x

12 x^{2} + 15 x = 18

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