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Popular >

4x^2-1>0

Solution

4 x^{2} - 1 > 0

Solution

x < - \frac{1}{2} or x > \frac{1}{2}

+2

Interval Notation

(- \infty, - \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Decimal Notation

x < - 0.5 or x > 0.5

Solution steps

4 x^{2} - 1 > 0

Move

1

to the right side

4 x^{2} > 1

Divide both sides by

4

x^{2} > \frac{1}{4}

For

u^{n} > a

, if

n

is even then

x < - \frac{1}{4} or x > \frac{1}{4}

\frac{1}{4} = \frac{1}{2}

x < - \frac{1}{2} or x > \frac{1}{2}

Popular Examples

x^{2} - 9 x > - 18

simplify (4+2i)(5-6i)simplify

(4 + 2 i) (5 - 6 i)

3 (x - 1)^{2} - 162 = 0

12 r^{2} - 11 r - 15 = 0

s^{2} + 3 s + 5 = 0

Frequently Asked Questions (FAQ)

What is 4x^2-1>0 ?
The solution to 4x^2-1>0 is x<-1/2 \lor x> 1/2