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)^2-10

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

The zeros of completesquare x^2-6x-1 are (x-3)^2-10

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complete the square

x^{2} - 6 x - 1

(x - 3)^{2} - 10

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} - 10

- \frac{1}{3} x^{2} + \frac{4}{3} x - \frac{4}{3} = - \frac{1}{6} x^{2} + \frac{2}{3} x - \frac{13}{6}

15 x^{2} - 10 = 0

- 2 x^{2} + 6 x - 9 = 0

x, z = 6 - x^{2} - y^{2}

(k - 1) x^{2} + k^{2} x + 21 = 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)^2-10
Find the zeros of completesquare x^2-6x-1
The zeros of completesquare x^2-6x-1 are (x-3)^2-10