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Popular >

9x^2+24x>-16

Solution

9 x^{2} + 24 x > - 16

Solution

x < - \frac{4}{3} or x > - \frac{4}{3}

+2

Interval Notation

(- \infty, - \frac{4}{3}) \cup (- \frac{4}{3}, \infty)

Decimal Notation

x < - 1.33333 \dots or x > - 1.33333 \dots

Solution steps

9 x^{2} + 24 x > - 16

Rewrite in standard form

9 x^{2} + 24 x + 16 > 0

Factor

9 x^{2} + 24 x + 16 : (3 x + 4)^{2}

(3 x + 4)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

3 x + 4 < 0 or 3 x + 4 > 0

3 x + 4 < 0 : x < - \frac{4}{3}

3 x + 4 > 0 : x > - \frac{4}{3}

Combine the intervals

x < - \frac{4}{3} or x > - \frac{4}{3}

Popular Examples

3 z^{2} - 2 z - 1 = 0

factor c^3-7c+6 factor

c^{3} - 7 c + 6

3 x - 7 = x + 5

simplify b^0 simplify

b^{0}

- 3 x^{2} + 5 x + 2 = 0

Frequently Asked Questions (FAQ)

What is 9x^2+24x>-16 ?
The solution to 9x^2+24x>-16 is x<-4/3 \lor x>-4/3