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

The solutions to the equation completesquare x^2-8x+2 are (x-4)^2-14

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

The zeros of completesquare x^2-8x+2 are (x-4)^2-14

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complete the square

x^{2} - 8 x + 2

(x - 4)^{2} - 14

Solution steps

x^{2} - 8 x + 2

Write

x^{2} - 8 x + 2

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

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

Simplify

(x - 4)^{2} - 14

x^{2} - 10 x + 18 = 0

(x + 3) (x - 5) = 5

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

2 x (2 x - 1) = 30

4.4 \times 1 0^{- 4} = \frac{x ^{2}}{0.01}

What are the solutions to the equation completesquare x^2-8x+2 ?
The solutions to the equation completesquare x^2-8x+2 are (x-4)^2-14
Find the zeros of completesquare x^2-8x+2
The zeros of completesquare x^2-8x+2 are (x-4)^2-14