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Popular >

2x^2>= 5x+12

Solution

2 x^{2} \geq 5 x + 12

Solution

x \leq - \frac{3}{2} or x \geq 4

+2

Interval Notation

(- \infty, - \frac{3}{2}] \cup [4, \infty)

Decimal Notation

x \leq - 1.5 or x \geq 4

Solution steps

2 x^{2} \geq 5 x + 12

Rewrite in standard form

2 x^{2} - 12 - 5 x \geq 0

Factor

2 x^{2} - 12 - 5 x : (2 x + 3) (x - 4)

(2 x + 3) (x - 4) \geq 0

Identify the intervals

x \leq - \frac{3}{2} or x \geq 4

Popular Examples

factor b^3+27 factor

b^{3} + 27

factor x^2+xy-30y^2 factor

x^{2} + x y - 30 y^{2}

simplify (3)^2 simplify

(3)^{2}

9 - x \geq 8

-4(6f+18)=20-17f+20

- 4 (6 f + 18) = 20 - 17 f + 20

Frequently Asked Questions (FAQ)

What is 2x^2>= 5x+12 ?
The solution to 2x^2>= 5x+12 is x<=-3/2 \lor x>= 4