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Popular >

(2x-3)(2x+3)>= 0

Solution

(2 x - 3) (2 x + 3) \geq 0

Solution

x \leq - \frac{3}{2} or x \geq \frac{3}{2}

+2

Interval Notation

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

Decimal Notation

x \leq - 1.5 or x \geq 1.5

Solution steps

(2 x - 3) (2 x + 3) \geq 0

Expand

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

4 x^{2} - 9 \geq 0

Move

9

to the right side

4 x^{2} \geq 9

Divide both sides by

4

x^{2} \geq \frac{9}{4}

For

u^{n} \geq a

, if

n

is even then

x \leq - \frac{9}{4} or x \geq \frac{9}{4}

\frac{9}{4} = \frac{3}{2}

x \leq - \frac{3}{2} or x \geq \frac{3}{2}

Popular Examples

factor x^2+22x+40 factor

x^{2} + 22 x + 40

simplify 7/8-5/6 (1/2)^2 simplify

\frac{7}{8} - \frac{5}{6} (\frac{1}{2})^{2}

8 = 2 x + 16

factor m^3+216n^3 factor

m^{3} + 216 n^{3}

simplify i^{2020}simplify

i^{2020}

Frequently Asked Questions (FAQ)

What is (2x-3)(2x+3)>= 0 ?
The solution to (2x-3)(2x+3)>= 0 is x<=-3/2 \lor x>= 3/2