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Popular >

3x^2>= 11x+20

Solution

3 x^{2} \geq 11 x + 20

Solution

x \leq - \frac{4}{3} or x \geq 5

+2

Interval Notation

(- \infty, - \frac{4}{3}] \cup [5, \infty)

Decimal Notation

x \leq - 1.33333 \dots or x \geq 5

Solution steps

3 x^{2} \geq 11 x + 20

Rewrite in standard form

3 x^{2} - 20 - 11 x \geq 0

Factor

3 x^{2} - 20 - 11 x : (3 x + 4) (x - 5)

(3 x + 4) (x - 5) \geq 0

Identify the intervals

x \leq - \frac{4}{3} or x \geq 5

Popular Examples

4 x + 4 = 2 x + 36

simplify (sqrt(12))/3 simplify

\frac{12}{3}

z^{2} + 8 = 9 z

\frac{5}{7} = p + \frac{4}{7}

simplify sqrt(49/9)simplify

\frac{49}{9}

Frequently Asked Questions (FAQ)

What is 3x^2>= 11x+20 ?
The solution to 3x^2>= 11x+20 is x<=-4/3 \lor x>= 5