What are the solutions to the equation completesquare 9x^2-12x+5 ?

The solutions to the equation completesquare 9x^2-12x+5 are 9(x-2/3)^2+1

Find the zeros of completesquare 9x^2-12x+5

The zeros of completesquare 9x^2-12x+5 are 9(x-2/3)^2+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

9 x^{2} - 12 x + 5

9 (x - \frac{2}{3})^{2} + 1

Solution steps

9 x^{2} - 12 x + 5

Write

9 x^{2} - 12 x + 5

in the form:

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

Factor out

9

9 (x^{2} - \frac{4 x}{3} + \frac{5}{9})

2 a = - \frac{4}{3} : a = - \frac{2}{3}

Add and subtract

(- \frac{2}{3})^{2}

9 (x^{2} - \frac{4 x}{3} + \frac{5}{9} + (- \frac{2}{3})^{2} - (- \frac{2}{3})^{2})

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

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

9 ((x - \frac{2}{3})^{2} + \frac{5}{9} - (- \frac{2}{3})^{2})

Simplify

9 (x - \frac{2}{3})^{2} + 1

x^{2} + 6 x + 1 = - 2 x + 1

2 p^{2} - 7 p = 5

3 (x - 4)^{2} = 27

x^{2} - 20 x + 90 = - x

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

What are the solutions to the equation completesquare 9x^2-12x+5 ?
The solutions to the equation completesquare 9x^2-12x+5 are 9(x-2/3)^2+1
Find the zeros of completesquare 9x^2-12x+5
The zeros of completesquare 9x^2-12x+5 are 9(x-2/3)^2+1