What are the solutions to the equation completesquare 6x^2-12x-2 ?

The solutions to the equation completesquare 6x^2-12x-2 are 6(x-1)^2-8

Find the zeros of completesquare 6x^2-12x-2

The zeros of completesquare 6x^2-12x-2 are 6(x-1)^2-8

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complete the square

6 x^{2} - 12 x - 2

6 (x - 1)^{2} - 8

Solution steps

6 x^{2} - 12 x - 2

Write

6 x^{2} - 12 x - 2

in the form:

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

Factor out

6

6 (x^{2} - 2 x - \frac{1}{3})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

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

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

6 ((x - 1)^{2} - \frac{1}{3} - (- 1)^{2})

Simplify

6 (x - 1)^{2} - 8

9 x^{2} - 72 x = 0

x^{2} - \frac{6}{7} x + 2

x, x^{2} - 2 x y + 3 y^{2} = 4

y^{2} - 2 y = 15

x^{2} + 4 x - 21 = 0

What are the solutions to the equation completesquare 6x^2-12x-2 ?
The solutions to the equation completesquare 6x^2-12x-2 are 6(x-1)^2-8
Find the zeros of completesquare 6x^2-12x-2
The zeros of completesquare 6x^2-12x-2 are 6(x-1)^2-8