What are the solutions to the equation completesquare 3x^2+18x+20 ?

The solutions to the equation completesquare 3x^2+18x+20 are 3(x+3)^2-7

Find the zeros of completesquare 3x^2+18x+20

The zeros of completesquare 3x^2+18x+20 are 3(x+3)^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} + 18 x + 20

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

Solution steps

3 x^{2} + 18 x + 20

Write

3 x^{2} + 18 x + 20

in the form:

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

Factor out

3

3 (x^{2} + 6 x + \frac{20}{3})

2 a = 6 : a = 3

Add and subtract

3^{2}

3 (x^{2} + 6 x + \frac{20}{3} + 3^{2} - 3^{2})

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

3 ((x + 3)^{2} + \frac{20}{3} - 3^{2})

Simplify

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

x^{2} + 10 + 9 = 0

3 x^{2} - 7 x - 11 = 0

x^{2} + 14 x + 49 = 44

\frac{x ^{2}}{4} - x - 3 = 0

(x + 4) (x - 9) + 5 x = 0

What are the solutions to the equation completesquare 3x^2+18x+20 ?
The solutions to the equation completesquare 3x^2+18x+20 are 3(x+3)^2-7
Find the zeros of completesquare 3x^2+18x+20
The zeros of completesquare 3x^2+18x+20 are 3(x+3)^2-7