What are the solutions to the equation completesquare 5x^2+20x+18 ?

The solutions to the equation completesquare 5x^2+20x+18 are 5(x+2)^2-2

Find the zeros of completesquare 5x^2+20x+18

The zeros of completesquare 5x^2+20x+18 are 5(x+2)^2-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

5 x^{2} + 20 x + 18

5 (x + 2)^{2} - 2

Solution steps

5 x^{2} + 20 x + 18

Write

5 x^{2} + 20 x + 18

in the form:

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

Factor out

5

5 (x^{2} + 4 x + \frac{18}{5})

2 a = 4 : a = 2

Add and subtract

2^{2}

5 (x^{2} + 4 x + \frac{18}{5} + 2^{2} - 2^{2})

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

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

5 ((x + 2)^{2} + \frac{18}{5} - 2^{2})

Simplify

5 (x + 2)^{2} - 2

x (x - 9) = 6^{2}

x^{2} - 8 + 16 = 0

7 x^{2} - 11 x + 10 = 0

b^{2} + 20 b + 46 = - 4

x^{2} + x^{2} = 2^{2}

What are the solutions to the equation completesquare 5x^2+20x+18 ?
The solutions to the equation completesquare 5x^2+20x+18 are 5(x+2)^2-2
Find the zeros of completesquare 5x^2+20x+18
The zeros of completesquare 5x^2+20x+18 are 5(x+2)^2-2