If `x=7+4sqrt3` then find the value of `x+(1)/(x)`

If x^(2) + (1)/(x^(2)) = 23 , then find the value of x + (1)/( x) and x^(3) + (1)/( x^(3))

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_2^(-1)f(x)dxdot

If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles theorem for c=(2sqrt(3)+1)/(sqrt(3) then find the value of aa n db

If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles theorem for c=(2sqrt(3)+1)/(sqrt(3) then find the value of aa n db

If |[1,x,x^2] , [x,x^2,1] , [x^2,1,x]|=3 then find the value of |[x^3-1, 0, x-x^4] , [0,x-x^4, x^3-1] , [x-x^4, x^3-1, 0]|

If alpha, beta and gamma are the roots of the equation x^(3) + 3x^(2) - 24x + 1 = 0 thebn find the value of (3sqrt(alpha)+3sqrt(beta)+ 3sqrt(gamma)).