en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2-12x>-4

Solution

9 x^{2} - 12 x > - 4

Solution

x < \frac{2}{3} or x > \frac{2}{3}

+2

Interval Notation

(- \infty, \frac{2}{3}) \cup (\frac{2}{3}, \infty)

Decimal Notation

x < 0.66666 \dots or x > 0.66666 \dots

Solution steps

9 x^{2} - 12 x > - 4

Rewrite in standard form

9 x^{2} - 12 x + 4 > 0

Factor

9 x^{2} - 12 x + 4 : (3 x - 2)^{2}

(3 x - 2)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

3 x - 2 < 0 or 3 x - 2 > 0

3 x - 2 < 0 : x < \frac{2}{3}

3 x - 2 > 0 : x > \frac{2}{3}

Combine the intervals

x < \frac{2}{3} or x > \frac{2}{3}

Popular Examples

simplify 2/5 (10)simplify

\frac{2}{5} (10)

z - 7 z = 9 z - 9 - z

factor 2j^2+5j+2 factor

2 j^{2} + 5 j + 2

simplify (14-2i)(7+12i)simplify

(14 - 2 i) (7 + 12 i)

factor 7xy+7xy^3+x^3y factor

7 x y + 7 x y^{3} + x^{3} y

Frequently Asked Questions (FAQ)

What is 9x^2-12x>-4 ?
The solution to 9x^2-12x>-4 is x< 2/3 \lor x> 2/3