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Popular >

15+12x^2<= 28x

Solution

15 + 12 x^{2} \leq 28 x

Solution

\frac{5}{6} \leq x \leq \frac{3}{2}

+2

Interval Notation

[\frac{5}{6}, \frac{3}{2}]

Decimal Notation

0.83333 \dots \leq x \leq 1.5

Solution steps

15 + 12 x^{2} \leq 28 x

Rewrite in standard form

15 + 12 x^{2} - 28 x \leq 0

Factor

15 + 12 x^{2} - 28 x : (6 x - 5) (2 x - 3)

(6 x - 5) (2 x - 3) \leq 0

Identify the intervals

\frac{5}{6} \leq x \leq \frac{3}{2}

Popular Examples

-1<= (x-4)/4 < 1/2

- 1 \leq \frac{x - 4}{4} < \frac{1}{2}

(x+7)/6 >(4x-6)/7

\frac{x + 7}{6} > \frac{4 x - 6}{7}

m^{2} + 4 m - 2 = 0

simplify (1+43i)/(-5+7i)simplify

\frac{1 + 43 i}{- 5 + 7 i}

12=k(ln(7))+(20)/(ln(2.6))-k

12 = k (ln (7)) + \frac{20}{ln ( 2.6 )} - k

Frequently Asked Questions (FAQ)

What is 15+12x^2<= 28x ?
The solution to 15+12x^2<= 28x is 5/6 <= x<= 3/2