The disease is most severe during cool weather when

Solve for x (x > 1):

log₃(x − 1) + log₃(x + 1) = 2

If x1x2x3 = 4(4 + x1 + x2 + x3), then what is the value of [1/(2 + x1)] + [1/(2 + x2)] + [1/(2 + x3)]?

If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P² + 1/Q²?

If a³ + 3a² + 9a = 1, then what is the value of a³ + (3/a)?

If 8x² + y² − 12x − 4xy + 9 = 0, then the value of (14x − 5y) 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 x² + y² + 2x + 1 = 0, therefore the value of x³¹ + y³⁵ is

Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together.

If x sin³ θ + y cos³ θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x² + y² equals