What is -5u^6+28u^5-15u^4<= 0 ?

The solution to -5u^6+28u^5-15u^4 = 5

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-5u^6+28u^5-15u^4<= 0

- 5 u^{6} + 28 u^{5} - 15 u^{4} \leq 0

u \leq \frac{3}{5} or u \geq 5

Interval Notation

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

Decimal Notation

u \leq 0.6 or u \geq 5

Solution steps

- 5 u^{6} + 28 u^{5} - 15 u^{4} \leq 0

Factor

- 5 u^{6} + 28 u^{5} - 15 u^{4} : - u^{4} (5 u - 3) (u - 5)

- u^{4} (5 u - 3) (u - 5) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- u^{4} (5 u - 3) (u - 5)) (- 1) \geq 0 \cdot (- 1)

Simplify

u^{4} (5 u - 3) (u - 5) \geq 0

Identify the intervals

u \leq \frac{3}{5} or u \geq 5

- 4

1 0^{- 9}

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

∣ 2 x - 5 ∣ = 19

(\frac{1}{2} x - \frac{2}{3} y) (\frac{1}{2} x + \frac{2}{3} y)

What is -5u^6+28u^5-15u^4<= 0 ?
The solution to -5u^6+28u^5-15u^4<= 0 is u<= 3/5 \lor u>= 5