Let x be the positive number such that 2x2=4x+9 If x can be written in simplified form as (a+(sqrt b))/c such that a, b and c are positive integers, what is a+b+c?
By the quadratic formula, \(x = \frac{2 + \sqrt{13}}{4}\), so a + b + c = 2 + 13 + 4 = 19.