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Popular >

81x^2+18x+1>0

Solution

81 x^{2} + 18 x + 1 > 0

Solution

x < - \frac{1}{9} or x > - \frac{1}{9}

+2

Interval Notation

(- \infty, - \frac{1}{9}) \cup (- \frac{1}{9}, \infty)

Decimal Notation

x < - 0.11111 \dots or x > - 0.11111 \dots

Solution steps

81 x^{2} + 18 x + 1 > 0

Factor

81 x^{2} + 18 x + 1 : (9 x + 1)^{2}

(9 x + 1)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

9 x + 1 < 0 or 9 x + 1 > 0

9 x + 1 < 0 : x < - \frac{1}{9}

9 x + 1 > 0 : x > - \frac{1}{9}

Combine the intervals

x < - \frac{1}{9} or x > - \frac{1}{9}

Popular Examples

∣ 2 x + 7 ∣ = 13

∣ 5 - x ∣ \geq 4

factor 4x(2x-1)+(2x-1)^2 factor

4 x (2 x - 1) + (2 x - 1)^{2}

\frac{2}{3} \cdot (\frac{5}{6} - \frac{1}{6})

2 x + 3 \geq 11

Frequently Asked Questions (FAQ)

What is 81x^2+18x+1>0 ?
The solution to 81x^2+18x+1>0 is x<-1/9 \lor x>-1/9