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Popular >

2/3 x^2-1>= 0

Solution

\frac{2}{3} x^{2} - 1 \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 - 1.22474 \dots or x \geq 1.22474 \dots

Solution steps

\frac{2}{3} x^{2} - 1 \geq 0

Move

1

to the right side

\frac{2}{3} x^{2} \geq 1

Multiply both sides by

3

2 x^{2} \geq 3

Divide both sides by

2

x^{2} \geq \frac{3}{2}

For

u^{n} \geq a

, if

n

is even then

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

Popular Examples

x^2+(x+10)^2=(2x-10)^2

x^{2} + (x + 10)^{2} = (2 x - 10)^{2}

simplify 2+1/2 simplify

2 + \frac{1}{2}

200-2x^2=x^2+25x+6600

200 - 2 x^{2} = x^{2} + 25 x + 6600

(4/7)^2+y^2=1^2

(\frac{4}{7})^{2} + y^{2} = 1^{2}

0 \leq x + 3 < 5

Frequently Asked Questions (FAQ)

What is 2/3 x^2-1>= 0 ?
The solution to 2/3 x^2-1>= 0 is x<=-sqrt(3/2)\lor x>= sqrt(3/2)