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Popular >

2x^2+x-6>= 0

Solution

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

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 - 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{4}{9})^{2}

(x^2)/(18)-x/9 =1

\frac{x ^{2}}{18} - \frac{x}{9} = 1

sqrt(3)x+sqrt(12)=(x+7)/(sqrt(3))

3 x + 12 = \frac{x + 7}{3}

simplify i^{89}simplify

i^{89}

factor 16x^3+2y^3 factor

16 x^{3} + 2 y^{3}

Frequently Asked Questions (FAQ)

What is 2x^2+x-6>= 0 ?
The solution to 2x^2+x-6>= 0 is x<=-2\lor x>= 3/2