Question

Solve the equation x^{4} +2x^{2} -16x+77=0,given that -2\sqrt{-7}

Answer 1

−3.(x+7)(x−ll)<0, (x+2)(x−2)>0 ∴

−7<x<11 and x<−2 or x>2

Mark these regions on real line and take their intersection.

The intersection of two regions is given by

−7<x<−2 or 2<x<11

We are to find the greatest - ive integer.

Hence we choose −7<x<−2.

Therefore all negative integers -6 to - 3 will satisfy the above and the greatest amongst these is - 3.