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

The solutions to the equation completesquare x-2x^2 are -2(x-1/4)^2+1/8

Find the zeros of completesquare x-2x^2

The zeros of completesquare x-2x^2 are -2(x-1/4)^2+1/8

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complete the square

x - 2 x^{2}

- 2 (x - \frac{1}{4})^{2} + \frac{1}{8}

Solution steps

x - 2 x^{2}

Write in the standard form

a x^{2} + b x + c

- 2 x^{2} + x

Write

- 2 x^{2} + x

in the form:

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

Factor out

- 2

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

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

Add and subtract

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

- 2 (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}

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

Simplify

- 2 (x - \frac{1}{4})^{2} + \frac{1}{8}

39 x^{2} = 91

2 x^{2} + 5 x - 7 = 0

y, y^{2} = x^{3} - 8 x

4 x (x - 4) = 1

3 x^{2} - 420 = 0

What are the solutions to the equation completesquare x-2x^2 ?
The solutions to the equation completesquare x-2x^2 are -2(x-1/4)^2+1/8
Find the zeros of completesquare x-2x^2
The zeros of completesquare x-2x^2 are -2(x-1/4)^2+1/8