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Popular >

9x^2-30x>-25

Solution

9 x^{2} - 30 x > - 25

Solution

x < \frac{5}{3} or x > \frac{5}{3}

+2

Interval Notation

(- \infty, \frac{5}{3}) \cup (\frac{5}{3}, \infty)

Decimal Notation

x < 1.66666 \dots or x > 1.66666 \dots

Solution steps

9 x^{2} - 30 x > - 25

Rewrite in standard form

9 x^{2} - 30 x + 25 > 0

Factor

9 x^{2} - 30 x + 25 : (3 x - 5)^{2}

(3 x - 5)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

3 x - 5 < 0 or 3 x - 5 > 0

3 x - 5 < 0 : x < \frac{5}{3}

3 x - 5 > 0 : x > \frac{5}{3}

Combine the intervals

x < \frac{5}{3} or x > \frac{5}{3}

Popular Examples

\frac{x}{6} = \frac{7}{3}

5 x^{2} - 8 x - 4 = 0

4 (x^{2} - 5) - 9 = 7

b^{2} - 9 b + 8 = 0

simplify 5+5/8+5/8+5/8+5/8-0.625 simplify

5 + \frac{5}{8} + \frac{5}{8} + \frac{5}{8} + \frac{5}{8} - 0.625

Frequently Asked Questions (FAQ)

What is 9x^2-30x>-25 ?
The solution to 9x^2-30x>-25 is x< 5/3 \lor x> 5/3