Let the equation `x^(5) + x^(3) + x^(2) + 2 = 0` has roots `x_(1), x_(2), x_(3), x_(4) and x_(5),` then find the value of `(x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).`

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(1)^(2) - 1)(x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(1)^(2)-1)(x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

If(x+2)+(1)/(x+2)=5 then find the value of (x+2)^(3)+(1)/((x+2)^(3))

If x-(1)/(x)=1 , then the value of (x^(4)-(1)/(x^(2)))/(3x^(2)+5x-3) is

If x+(1)/(x)=5 then what is the value of (x^(4)+(1)/(x^(2)))/(x^(2)-3x+1) ?

(b) Find the square root of 4x^(4) - 4x^(3) + 5x^(2) -2x +1

If f(x)=x^(5)+x^(2)+1 has roots x_(1),x_(2),x_(3),x_(4),x_(5) and g(x)=x^(2)-2 then g(x_(1))g(x_(2))g(x_(3))g(x_(4))g(x_(5))-30g(x_(1)x_(2)x_(3)x_(4)x_(5))=