The committee made exhaustive enquiries and

If (x – 3) is a factor of (x² + 4qx – 2q), then the value of q is:

If (a + b) = 7 and ab = 9, then find the value of (a² + b²).

If = 3 then

If x ≠ 0 and x − 1/x = 5, find:

(i) x² + 1/x²

(ii) x³ − 1/x³

(p + q) = 8 and (p² + q² - 6) = 28. If p < q, then determine the value of (p/q).

If x = (2+√3)/(2-√3), y = (2-√3)/(2+√3)

Then find out the value of (x²+y²-xy)/(x²+y²+xy)

If x + y + z = 9 and (x² + y² + z²) = 21, then find the value of (xy + yz + zx)

If x + y + z = 7, x² + y² + z² = 85 and x³ + y³ + z³ = 842, then the value of √3 xyz is: