Solve for whole numbers m and n in the following equation, where 3/m is a fraction in lowest terms and n is a whole number greater than or equal to 1.
(5 + 3/m)(n + 1/2) = 19
If 1/x - 1/y = - 29 and the value of (x +12xy - y) / (x - 6xy -y) can be expressed as m/n, where m and n are co prime positive integers. The value of m + n = ?
Solve for the parameter a for which the sum of all of the real valued roots to the equation sin(√(ax – x2)) = 0 is exactly equal to 100.