`3x^2 + 2sqrt( 5) x-5` is equal to zero​. find the value of x

If the values of the polynomils ax^(3)+3x^(2)-13 and 2x^(3)-5x+a are equal at x=2, find the value of a.

If x = (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) , find the value of x^(3) + (1)/(x^(3)) .

If the value of the determinant |{:(3sqrt(6),-4sqrt(2)),(5sqrt(3),x):}| is 26sqrt(6) , find the value of x .

If x=(sqrt5+sqrt2)/(sqrt5-sqrt2) and y=(sqrt5-sqrt2)/(sqrt5+sqrt2) then find the value of (3x-2y)(x+2y)

If (sqrt(x + 2) + sqrt(x-3))/(sqrt(x+2) - sqrt(x - 3)) = 5 , then the value of x is