What are the solutions to the equation completesquare 3x^2-12x+28 ?

The solutions to the equation completesquare 3x^2-12x+28 are 3(x-2)^2+16

Find the zeros of completesquare 3x^2-12x+28

The zeros of completesquare 3x^2-12x+28 are 3(x-2)^2+16

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} - 12 x + 28

3 (x - 2)^{2} + 16

Solution steps

3 x^{2} - 12 x + 28

Write

3 x^{2} - 12 x + 28

in the form:

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

Factor out

3

3 (x^{2} - 4 x + \frac{28}{3})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

3 (x^{2} - 4 x + \frac{28}{3} + (- 2)^{2} - (- 2)^{2})

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

x^{2} - 4 x + (- 2)^{2} = (x - 2)^{2}

3 ((x - 2)^{2} + \frac{28}{3} - (- 2)^{2})

Simplify

3 (x - 2)^{2} + 16

\frac{1}{2} x^{2} - 50 = 0

n^{2} + 4 n - 5 = 0

4 + \frac{x}{2} - \frac{x ^{2}}{8} = 0

3 x^{2} - 16 x - 35 = 0

(k - 1) x^{2} + 2 x + (2 k - 3) = 0

What are the solutions to the equation completesquare 3x^2-12x+28 ?
The solutions to the equation completesquare 3x^2-12x+28 are 3(x-2)^2+16
Find the zeros of completesquare 3x^2-12x+28
The zeros of completesquare 3x^2-12x+28 are 3(x-2)^2+16