What are the solutions to the equation completesquare-3x^2-2x+12 ?

The solutions to the equation completesquare-3x^2-2x+12 are -3(x+1/3)^2+37/3

Find the zeros of completesquare-3x^2-2x+12

The zeros of completesquare-3x^2-2x+12 are -3(x+1/3)^2+37/3

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} - 2 x + 12

- 3 (x + \frac{1}{3})^{2} + \frac{37}{3}

Solution steps

- 3 x^{2} - 2 x + 12

Write

- 3 x^{2} - 2 x + 12

in the form:

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

Factor out

- 3

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

2 a = \frac{2}{3} : a = \frac{1}{3}

Add and subtract

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

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

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

x^{2} + \frac{2}{3} x + (\frac{1}{3})^{2} = (x + \frac{1}{3})^{2}

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

Simplify

- 3 (x + \frac{1}{3})^{2} + \frac{37}{3}

2 w^{2} + w - 7 = 0

3 x^{2} - 3 x - 10 = 0

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

(x - 3)^{2} + 5 = - 11

4 v^{2} - 9 v + 4 = 0

What are the solutions to the equation completesquare-3x^2-2x+12 ?
The solutions to the equation completesquare-3x^2-2x+12 are -3(x+1/3)^2+37/3
Find the zeros of completesquare-3x^2-2x+12
The zeros of completesquare-3x^2-2x+12 are -3(x+1/3)^2+37/3