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Popular >

6x^3+x^2-54x+56<0

Solution

6 x^{3} + x^{2} - 54 x + 56 < 0

Solution

x < - \frac{7}{2} or \frac{4}{3} < x < 2

+2

Interval Notation

(- \infty, - \frac{7}{2}) \cup (\frac{4}{3}, 2)

Decimal Notation

x < - 3.5 or 1.33333 \dots < x < 2

Solution steps

6 x^{3} + x^{2} - 54 x + 56 < 0

Factor

6 x^{3} + x^{2} - 54 x + 56 : (x - 2) (3 x - 4) (2 x + 7)

(x - 2) (3 x - 4) (2 x + 7) < 0

Identify the intervals

x < - \frac{7}{2} or \frac{4}{3} < x < 2

Popular Examples

x/((x-3))< 9/((4x+3))

\frac{x}{( x - 3 )} < \frac{9}{( 4 x + 3 )}

((x-4))/((x+2))>= ((x-5))/((x+4))

\frac{( x - 4 )}{( x + 2 )} \geq \frac{( x - 5 )}{( x + 4 )}

x^3+9x^2<=-26x-24

x^{3} + 9 x^{2} \leq - 26 x - 24

solvefor x,f<-8 solve for

x, f < - 8

x^{2} > 4 (8 - x)

Frequently Asked Questions (FAQ)

What is 6x^3+x^2-54x+56<0 ?
The solution to 6x^3+x^2-54x+56<0 is x<-7/2 \lor 4/3 <x<2