If X and Y are positive integers and X + Y = 1, what is the least value of (X+1/X)² + (Y+1/Y)² ?

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

If x + y = 2, xy = 1, then the values of x and y are respectively

If a + b = 0, then (1 + x^a)^-1 + (1 + x^b)^-1 - x^a+b =

When x⁵– 5x⁴+ 9x³– 6x²– 16x + 13 is divided by x² – 3x + a, the quotient and the remainder are x³ 2x²+ x + 1 and  – 15x + 11, respectively. The value of a is equal to

The system of equations x + 2y = 3 and 2x + 4y = 3, has

If 8e + 2p = 12 and y – 3p = 4, then what is the value of y?

If 4x + 5y = 83 and 3x/2y = 21/22, then y-x = ?

If y(u) = 2u² + 2 then what is the value of y, if u = 3?

If u(m) =3m²+ 2 then what is the value of u(m + 4)?