inequalities

Q1)Solve:(x+3)⁵-(x-1)⁵â‰¥244.

Q2)Find all real a such that 5a²-3a-2, a²+a-2 and 2a²+a-1 are the lengths of sides of Triangle.

1 Answers

hint for first one : take x + 1 = t

so (t + 2)⁵ - ( t - 2)⁵ â‰¥ 244

then expand binomially

for second one , use the fact that sum of length 2 sides of a triangle is gr8er than that of the 3rd side .

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