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

The solutions to the equation completesquare 2x^2-12x are 2(x-3)^2-18

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

The zeros of completesquare 2x^2-12x are 2(x-3)^2-18

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complete the square

2 x^{2} - 12 x

2 (x - 3)^{2} - 18

Solution steps

2 x^{2} - 12 x

Write

2 x^{2} - 12 x

in the form:

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

Factor out

2

2 (x^{2} - 6 x)

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

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

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

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

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

Simplify

2 (x - 3)^{2} - 18

12 x^{2} + x = 0

x^{2} - \frac{1}{4} x - \frac{1}{8} = 0

x (x + 4) = 3 x^{2}

0 = - 16 t^{2} + 40 t + 24

x^{2} = 13 x + 90

What are the solutions to the equation completesquare 2x^2-12x ?
The solutions to the equation completesquare 2x^2-12x are 2(x-3)^2-18
Find the zeros of completesquare 2x^2-12x
The zeros of completesquare 2x^2-12x are 2(x-3)^2-18