Not The Brute Force Approach

Algebra Level 5

Let mm be the largest real solution to the equation 3x3+5x5+17x17+19x19=x211x4.\frac{3}{x-3}+\frac{5}{x-5}+\frac{17}{x-17}+\frac{19}{x-19}= x^2-11x-4.

There are positive integers a,b,ca,b,c such that m=a+b+cm = a + \sqrt{b+\sqrt{c}}. Find a+b+ca+b+c.

×

Problem Loading...

Note Loading...

Set Loading...