Which film received the prestigious Palme d'Or award at

If x + y = 7 and xy = 10, then the value of (1/x³ + 1/x³) is :

If 2cos² Ɵ – 5cos Ɵ + 2 = 0,0⁰ < Ɵ < 90⁰ , then the value of (cosec Ɵ + cot Ɵ) is :

If the nine-digit number 43x1145y2 is divisible by 88, then the value of (3x — 2y), for the smallest value of y, is:

If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

If α and β are the roots of equation x² – x + 1 = 0, then which equation will have roots α³ and β³?

If 8x² + y² − 12x − 4xy + 9 = 0, then the value of (14x − 5y) is :

Find x, given 5 (√5)^x+6 = (√5)^2x+7 :

If x⁴ + 2x³ + ax² + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are

If 0 ≤ θ ≤ 90°, and sec¹⁰⁷ θ + cos¹⁰⁷ θ = 2, then. (secθ + cosθ) is equal to:

Solve for x (x > 1):

log₃(x − 1) + log₃(x + 1) = 2