What are the solutions to the equation completesquare x^2-8x+22 ?

The solutions to the equation completesquare x^2-8x+22 are (x-4)^2+6

Find the zeros of completesquare x^2-8x+22

The zeros of completesquare x^2-8x+22 are (x-4)^2+6

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complete the square

x^{2} - 8 x + 22

(x - 4)^{2} + 6

Solution steps

x^{2} - 8 x + 22

Write

x^{2} - 8 x + 22

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 22 + (- 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} + 22 - (- 4)^{2}

Simplify

(x - 4)^{2} + 6

x^{2} - 8 x + 20

x^{2} - 8 x + 21

k^{2} + 24 k + 144 = 0

x, x^{2} y^{2} - 9 x^{2} - 4 y^{2} = 0

x^{2} + 15 x - 5 = 0

What are the solutions to the equation completesquare x^2-8x+22 ?
The solutions to the equation completesquare x^2-8x+22 are (x-4)^2+6
Find the zeros of completesquare x^2-8x+22
The zeros of completesquare x^2-8x+22 are (x-4)^2+6