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(x±a)(x±b) = x²±(a+b)x+ab.

Solve the fol...

Question

Solve the following inequality:
$\frac{x^{4} - 3 x^{3} + 2 x^{2}}{x^{2} - x - 30} > 0$

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Solution

$\frac{x^{4} - 3 x^{3} + 2 x^{2}}{x^{2} - x - 30} > 0 \frac{x^{2} (x - 2) (x - 1)}{(x - 6) (x + 5)} > 0 x \in (- \infty, - 5) \cup (1, 2) \cup (6, \infty)$

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(x±a)(x±b) = x²±(a+b)x+ab.

Standard IX Mathematics

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