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Popular >

18x^2+3x>= 1

Solution

18 x^{2} + 3 x \geq 1

Solution

x \leq - \frac{1}{3} or x \geq \frac{1}{6}

+2

Interval Notation

(- \infty, - \frac{1}{3}] \cup [\frac{1}{6}, \infty)

Decimal Notation

x \leq - 0.33333 \dots or x \geq 0.16666 \dots

Solution steps

18 x^{2} + 3 x \geq 1

Rewrite in standard form

18 x^{2} + 3 x - 1 \geq 0

Factor

18 x^{2} + 3 x - 1 : (6 x - 1) (3 x + 1)

(6 x - 1) (3 x + 1) \geq 0

Identify the intervals

x \leq - \frac{1}{3} or x \geq \frac{1}{6}

Popular Examples

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x^{3} (x + 1)^{3} (x - 1)

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1 + \frac{3}{3}

factor 5x^2-33x-14 factor

5 x^{2} - 33 x - 14

2 x^{2} = (x + 3)^{2}

Frequently Asked Questions (FAQ)

What is 18x^2+3x>= 1 ?
The solution to 18x^2+3x>= 1 is x<=-1/3 \lor x>= 1/6