What are the solutions to the equation completesquare x^2-8x-5 ?

The solutions to the equation completesquare x^2-8x-5 are (x-4)^2-21

Find the zeros of completesquare x^2-8x-5

The zeros of completesquare x^2-8x-5 are (x-4)^2-21

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complete the square

x^{2} - 8 x - 5

(x - 4)^{2} - 21

Solution steps

x^{2} - 8 x - 5

Write

x^{2} - 8 x - 5

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x - 5 + (- 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} - 5 - (- 4)^{2}

Simplify

(x - 4)^{2} - 21

x^{2} - 8 x - 2

x^{2} - 8 x + 4

s^{2} - 4 s - 1 = 0

3 x^{2} = 15 x - 22

y^{2} + 14 y + 49 = 0

What are the solutions to the equation completesquare x^2-8x-5 ?
The solutions to the equation completesquare x^2-8x-5 are (x-4)^2-21
Find the zeros of completesquare x^2-8x-5
The zeros of completesquare x^2-8x-5 are (x-4)^2-21