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Popular >

2x^2+x>= 6

Solution

2 x^{2} + x \geq 6

Solution

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

+2

Interval Notation

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

Decimal Notation

x \leq - 2 or x \geq 1.5

Solution steps

2 x^{2} + x \geq 6

Rewrite in standard form

2 x^{2} + x - 6 \geq 0

Factor

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

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

Identify the intervals

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

Popular Examples

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(\frac{3 m ^{5} r ^{3}}{4 p ^{8}})^{4}

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3 (\frac{2}{3})^{2}

2 x^{2} - 3 x + 15 = 0

Frequently Asked Questions (FAQ)

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