What are the solutions to the equation completesquare x^2-8x+1 ?

The solutions to the equation completesquare x^2-8x+1 are (x-4)^2-15

Find the zeros of completesquare x^2-8x+1

The zeros of completesquare x^2-8x+1 are (x-4)^2-15

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complete the square

x^{2} - 8 x + 1

(x - 4)^{2} - 15

Solution steps

x^{2} - 8 x + 1

Write

x^{2} - 8 x + 1

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 1 + (- 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} + 1 - (- 4)^{2}

Simplify

(x - 4)^{2} - 15

8 x^{2} - 14 x + 5 = 0

- 2 x^{2} - 12 x - 9 = 0

x^{2} + 22 x = 31

24 x^{2} - 14 x - 24 = 0

3 y (y - 6) - 8 = 12

What are the solutions to the equation completesquare x^2-8x+1 ?
The solutions to the equation completesquare x^2-8x+1 are (x-4)^2-15
Find the zeros of completesquare x^2-8x+1
The zeros of completesquare x^2-8x+1 are (x-4)^2-15