What are the solutions to the equation completesquare x^2-4x-7 ?

The solutions to the equation completesquare x^2-4x-7 are (x-2)^2-11

Find the zeros of completesquare x^2-4x-7

The zeros of completesquare x^2-4x-7 are (x-2)^2-11

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complete the square

x^{2} - 4 x - 7

(x - 2)^{2} - 11

Solution steps

x^{2} - 4 x - 7

Write

x^{2} - 4 x - 7

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

x^{2} - 4 x - 7 + (- 2)^{2} - (- 2)^{2}

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

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

(x - 2)^{2} - 7 - (- 2)^{2}

Simplify

(x - 2)^{2} - 11

8 - x^{2} = 2 x

y - y^{2} = y^{2} - 3

y^{2} = - 16 y

- 4 x^{2} - 2 x + 9 = 0

3 (2 x + 1)^{2} + 2 = 7

What are the solutions to the equation completesquare x^2-4x-7 ?
The solutions to the equation completesquare x^2-4x-7 are (x-2)^2-11
Find the zeros of completesquare x^2-4x-7
The zeros of completesquare x^2-4x-7 are (x-2)^2-11