What are the solutions to the equation completesquare 3x^2+12x+5 ?

The solutions to the equation completesquare 3x^2+12x+5 are 3(x+2)^2-7

Find the zeros of completesquare 3x^2+12x+5

The zeros of completesquare 3x^2+12x+5 are 3(x+2)^2-7

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 + 5

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

Solution steps

3 x^{2} + 12 x + 5

Write

3 x^{2} + 12 x + 5

in the form:

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

Factor out

3

3 (x^{2} + 4 x + \frac{5}{3})

2 a = 4 : a = 2

Add and subtract

2^{2}

3 (x^{2} + 4 x + \frac{5}{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{5}{3} - 2^{2})

Simplify

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

0 = 7 x^{2} + 21

x^{2} + 6 x + 8 = 2

3 (x + 2)^{2} + 4 = 13

x, 9 x^{2} + 6 y^{2} + 4 x y - y + 2 = 0

y, z = y x^{6} - 3 x + 8 x^{2} y^{2} - y^{2}

What are the solutions to the equation completesquare 3x^2+12x+5 ?
The solutions to the equation completesquare 3x^2+12x+5 are 3(x+2)^2-7
Find the zeros of completesquare 3x^2+12x+5
The zeros of completesquare 3x^2+12x+5 are 3(x+2)^2-7