What are the solutions to the equation completesquare x^2-2x-5 ?

The solutions to the equation completesquare x^2-2x-5 are (x-1)^2-6

Find the zeros of completesquare x^2-2x-5

The zeros of completesquare x^2-2x-5 are (x-1)^2-6

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complete the square

x^{2} - 2 x - 5

(x - 1)^{2} - 6

Solution steps

x^{2} - 2 x - 5

Write

x^{2} - 2 x - 5

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

x^{2} - 2 x - 5 + (- 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} - 5 - (- 1)^{2}

Simplify

(x - 1)^{2} - 6

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

x^{2} - 2 x = 0

(x - 2) (2 x - 1) = 0

(x - 1)^{2} - 4 = 0

8 x^{2} - 40 x = 0

What are the solutions to the equation completesquare x^2-2x-5 ?
The solutions to the equation completesquare x^2-2x-5 are (x-1)^2-6
Find the zeros of completesquare x^2-2x-5
The zeros of completesquare x^2-2x-5 are (x-1)^2-6