What are the solutions to the equation completesquare x^2-6x+1 ?

The solutions to the equation completesquare x^2-6x+1 are (x-3)^2-8

Find the zeros of completesquare x^2-6x+1

The zeros of completesquare x^2-6x+1 are (x-3)^2-8

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complete the square

x^{2} - 6 x + 1

(x - 3)^{2} - 8

Solution steps

x^{2} - 6 x + 1

Write

x^{2} - 6 x + 1

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

x^{2} - 6 x + 1 + (- 3)^{2} - (- 3)^{2}

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

x^{2} - 6 x + (- 3)^{2} = (x - 3)^{2}

(x - 3)^{2} + 1 - (- 3)^{2}

Simplify

(x - 3)^{2} - 8

0 = 3 x^{2} - 12 x - 15

19 x = 7 - 6 x^{2}

4^{2} = 2^{2} + x^{2}

36 x^{2} = - 25

3 x^{2} + 8 x + 6 = 0

What are the solutions to the equation completesquare x^2-6x+1 ?
The solutions to the equation completesquare x^2-6x+1 are (x-3)^2-8
Find the zeros of completesquare x^2-6x+1
The zeros of completesquare x^2-6x+1 are (x-3)^2-8