8(x^(2)+(1)/(x^(2)))-3(x-(1)/(x))-2=0

If 2[x^(2)+(1)/(x^(2))]-2[x-(1)/(x)]-8=0 , what are the two values of (x-(1)/(x)) ?

If x^(2)+3x+1=0 then find x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4)),x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

Solve the inequality if f(x)=((x-2)^(10)(x+1)^(3)(x-((1)/(2)))^(5)(x+8)^(2))/(x^(24)(x-3)^(3)(x+2)^(5))is>0 or <0

If int(x^(2)+1)/((x-1)^(2)(x+3))dx=(3)/(8)log|x-1|-(1)/(2(x-1))+F(x)+C then 8F'(2) equals to

If the roots x_(1),x_(2),x_(3) of the equation x^(3)+ax+a=0 (where a in R-{0} ) satisfy (x_(1)^(2))/(x_(2))+(x_(2)^(2))/(x_(3))+(x_(3)^(2))/(x_(1))=-8 , then find the value of a and the roots of the given cubic equation.

If the roots x_(1),x_(2),x_(3) of the equation x^(3)+ax+a=0 (where a in R-{0} ) satisfy (x_(1)^(2))/(x_(2))+(x_(2)^(2))/(x_(3))+(x_(3)^(2))/(x_(1))=-8 , then find the value of a and the roots of the given cubic equation.