What are the solutions to the equation completesquare 3x^2-3x ?

The solutions to the equation completesquare 3x^2-3x are 3(x-1/2)^2-3/4

Find the zeros of completesquare 3x^2-3x

The zeros of completesquare 3x^2-3x are 3(x-1/2)^2-3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

3 x^{2} - 3 x

3 (x - \frac{1}{2})^{2} - \frac{3}{4}

Solution steps

3 x^{2} - 3 x

Write

3 x^{2} - 3 x

in the form:

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

Factor out

3

3 (x^{2} - x)

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

Add and subtract

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

3 (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}

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

Simplify

3 (x - \frac{1}{2})^{2} - \frac{3}{4}

5 + 22 z = 15 z^{2}

w (w + 4) = - 8

(a - 1)^{2} = 5 a

15 x^{2} - 4 = 0

(2 x - 3)^{2} + 7 = 0

What are the solutions to the equation completesquare 3x^2-3x ?
The solutions to the equation completesquare 3x^2-3x are 3(x-1/2)^2-3/4
Find the zeros of completesquare 3x^2-3x
The zeros of completesquare 3x^2-3x are 3(x-1/2)^2-3/4