If `x_1 x_2 x_3=4(4+x_1+x_2+x_3)` then what is the value of `[1/(2+x_1)]+[1/(2+x_2)]+[1/(2+x_3)]?`

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

If x+(1)/(x)=17 , what is the value of (x^(4)+(1)/(x^(2)))/(x^(2)-3x+1) ?

If (x_i , 1/x_i), i = 1, 2, 3, 4 are four distinct points on a circle, then (A) x_1 x_2 = x_3 x_4 (B) x_1 x_2 x_3 x_4 = 1 (C) x_1 + x_2 + x_3 + x_4 = 1 (D) 1/x_1 + 1/x_2 + 1/x_3 + 1/x_4 = 1

If (x_i , 1/x_i), i = 1, 2, 3, 4 are four distinct points on a circle, then (A) x_1 x_2 = x_3 x_4 (B) x_1 x_2 x_3 x_4 = 1 (C) x_1 + x_2 + x_3 + x_4 = 1 (D) 1/x_1 + 1/x_2 + 1/x_3 + 1/x_4 = 1