solve each inequality, express your solution in interval notation:24x^3(x-3)^3 - 20x^2(x-3)^4<=0?

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solve each inequality, express your solution in interval notation:24x^3(x-3)^3 - 20x^2(x-3)^4<=0?

2007-10-16 17:20:22 · 1 answers · asked by Tahlyssa L 1 in Science & Mathematics ➔ Mathematics

1 answers

Solve for x.

24x³(x - 3)³ - 20x²(x - 3)^4 ≤ 0

Factor out 4x²(x - 3)³.

4x²(x - 3)³[6x - 5(x - 3)] ≤ 0
4x²(x - 3)³[6x - 5x + 15] ≤ 0
4x²(x - 3)³(x - 15) ≤ 0

The solution set for x is:
0 U [3,15]

2007-10-16 18:04:59 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋