Calculate `1/x_1^3+1/x_2^3` where `x_1` and `x_2` are roots of the equation `2x^2-3ax-2=0`

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

The roots of the equations 2x - (3)/(x) = 1 are

The roots of the quadratic equation 2x^2+3x+1 =0 are

Find the value of a if 1 is a root of the equation x^(2)+ax+3=0 .

x_1 and x_3 are the roots of the equation Ax ^2 - 4x +1=0 and x_2 and x_4 =0 are the roots of the requation Bx^2 - 6x + 1=0 if x_1 , x_2 , x_3 ,x_4 form a H.P , then (A,B) =

Assume that x_(1) and x_(2) are roots of the equation 3x^(2)-ax+2a-1=0 then calculate x_(1)^(3)+x_(2)^(3)

Let x_(1),x_(2), be the roots of the quadratic equation x^(2)+ax+b=0 and x_(3),x_(4), be the roots of the quadratic equation x^(2)-ax+b-2=0. If (1)/(x_(1))+(1)/(x_(2))+(1)/(x_(3))+(1)/(x_(4))=(5)/(6) and x_(1)x_(2)x_(3)x_(4)=24 then find the value of a .