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

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

Find the zeros of completesquare 2x^2-x

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

2 x^{2} - x

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

Solution steps

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}

\frac{263}{160} \frac{A ^{2}}{2} \cdot 4 \cdot 1 0^{- 7} = 5 \cdot 1 0^{- 6}

6 x^{2} - 10 x + 1 = 0

6 y^{2} + 2 = - y

s^{2} + s - 1

16 h^{2} = 25

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