In a best-of-two chess match between Player X and Player Y, the probability that Player X wins a game is (5/9), and the probability that Player Y loses ...
If √m + (1/√m) = 7, then find the value of m + (1/m).

If n = 6 + √13, then find the value of (n + 1/n)².
If (a + b) = 13 and (a2 + b2) = 85, then find the value of (a × b).
If x + y + z = 20, x² + Y² + z² = 160 and x z = y², then find the value of x z?
If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) isÂ
...If x4 + x - 4 = 47 then find the value of (x + x-1).
If (4x + 3y): (28x - y) = 1: 5, then what is the value of (3x 2 Â + 4y 2 ): (7x 2 Â + 2y 2 )?
If (a2 + 1/a2) = 51, then find the value of (a3 - 1/a3).