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

The solutions to the equation completesquare x^2-2x-8 are (x-1)^2-9

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

The zeros of completesquare x^2-2x-8 are (x-1)^2-9

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complete the square

x^{2} - 2 x - 8

(x - 1)^{2} - 9

Solution steps

x^{2} - 2 x - 8

Write

x^{2} - 2 x - 8

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

x^{2} - 2 x - 8 + (- 1)^{2} - (- 1)^{2}

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

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

(x - 1)^{2} - 8 - (- 1)^{2}

Simplify

(x - 1)^{2} - 9

x (x - 1) = 1

x^{2} - x - 12 = 0

4 x^{2} + 5 b x = - b^{2}

2 x - 3 x^{2} = 5

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

What are the solutions to the equation completesquare x^2-2x-8 ?
The solutions to the equation completesquare x^2-2x-8 are (x-1)^2-9
Find the zeros of completesquare x^2-2x-8
The zeros of completesquare x^2-2x-8 are (x-1)^2-9