What are the solutions to the equation completesquare 3x^2-18x+11 ?

The solutions to the equation completesquare 3x^2-18x+11 are 3(x-3)^2-16

Find the zeros of completesquare 3x^2-18x+11

The zeros of completesquare 3x^2-18x+11 are 3(x-3)^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} - 18 x + 11

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

Solution steps

3 x^{2} - 18 x + 11

Write

3 x^{2} - 18 x + 11

in the form:

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

Factor out

3

3 (x^{2} - 6 x + \frac{11}{3})

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

3 (x^{2} - 6 x + \frac{11}{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{11}{3} - (- 3)^{2})

Simplify

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

5 n^{2} + 7 n - 3 = 4 n

x^{2} - 11 x + 41 = 19

4 x^{2} - 3 (5 x - 1) = 0

- 0.1 x^{2} + 14 x + 3 = 1000

x (x - 5) = 4 x

What are the solutions to the equation completesquare 3x^2-18x+11 ?
The solutions to the equation completesquare 3x^2-18x+11 are 3(x-3)^2-16
Find the zeros of completesquare 3x^2-18x+11
The zeros of completesquare 3x^2-18x+11 are 3(x-3)^2-16