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Popular >

21x^2>=-11x+2

Solution

21 x^{2} \geq - 11 x + 2

Solution

x \leq - \frac{2}{3} or x \geq \frac{1}{7}

+2

Interval Notation

(- \infty, - \frac{2}{3}] \cup [\frac{1}{7}, \infty)

Decimal Notation

x \leq - 0.66666 \dots or x \geq 0.14285 \dots

Solution steps

21 x^{2} \geq - 11 x + 2

Rewrite in standard form

21 x^{2} - 2 + 11 x \geq 0

Factor

21 x^{2} - 2 + 11 x : (7 x - 1) (3 x + 2)

(7 x - 1) (3 x + 2) \geq 0

Identify the intervals

x \leq - \frac{2}{3} or x \geq \frac{1}{7}

Popular Examples

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e^{- l n (x^{2})}

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

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\frac{1}{3} - \frac{3}{1}

factor 9m^2+30mn+25n^2 factor

9 m^{2} + 30 mn + 25 n^{2}

factor 14x+20 factor

14 x + 20

Frequently Asked Questions (FAQ)

What is 21x^2>=-11x+2 ?
The solution to 21x^2>=-11x+2 is x<=-2/3 \lor x>= 1/7