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

The solutions to the equation completesquare 2x^2-2x are 2(x-1/2)^2-1/2

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

The zeros of completesquare 2x^2-2x are 2(x-1/2)^2-1/2

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complete the square

2 x^{2} - 2 x

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

Solution steps

2 x^{2} - 2 x

Write

2 x^{2} - 2 x

in the form:

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

Factor out

2

2 (x^{2} - x)

2 a = - 1 : a = - \frac{1}{2}

Add and subtract

(- \frac{1}{2})^{2}

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

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

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

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

Simplify

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

x + x^{2} = 6

25 d^{2} - 60 d + 36 = 0

x, x^{2} - 3 x = 0

8 w^{2} + 13 w + 4 = 3 w^{2}

x^{2} + b x + 1 = 0

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