What are the solutions to the equation completesquare 4x^2-2x ?

The solutions to the equation completesquare 4x^2-2x are 4(x-1/4)^2-1/4

Find the zeros of completesquare 4x^2-2x

The zeros of completesquare 4x^2-2x are 4(x-1/4)^2-1/4

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complete the square

4 x^{2} - 2 x

4 (x - \frac{1}{4})^{2} - \frac{1}{4}

Solution steps

4 x^{2} - 2 x

Write

4 x^{2} - 2 x

in the form:

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

Factor out

4

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

2 a = - \frac{1}{2} : a = - \frac{1}{4}

Add and subtract

(- \frac{1}{4})^{2}

4 (x^{2} - \frac{x}{2} + (- \frac{1}{4})^{2} - (- \frac{1}{4})^{2})

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

x^{2} - \frac{1}{2} x + (- \frac{1}{4})^{2} = (x - \frac{1}{4})^{2}

4 ((x - \frac{1}{4})^{2} - (- \frac{1}{4})^{2})

Simplify

4 (x - \frac{1}{4})^{2} - \frac{1}{4}

- 2 x^{2} + 5 x + 5 = 0

2 (16 - 3 x^{2}) = 0

18 x^{2} - 504 x + 2646 = 0

0 = 3 x^{2} + 4 x

r^{2} - \frac{3 r}{5} + \frac{2}{25} = 0

What are the solutions to the equation completesquare 4x^2-2x ?
The solutions to the equation completesquare 4x^2-2x are 4(x-1/4)^2-1/4
Find the zeros of completesquare 4x^2-2x
The zeros of completesquare 4x^2-2x are 4(x-1/4)^2-1/4