SOLUTION: The equation x^2+12x=73 has two solutions. The positive solution has the form (sqrta)-(b) for positive natural numbers a and b. What is a+b?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The equation x^2+12x=73 has two solutions. The positive solution has the form (sqrta)-(b) for positive natural numbers a and b. What is a+b?       Log On


   

Question 1029536: The equation x^2+12x=73 has two solutions. The positive solution has the form (sqrta)-(b) for positive natural numbers a and b. What is a+b?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the formula for solution of a quadratic equation.

x%5E2%2B12x-73=0

x=%28-12%2B-+sqrt%28144%2B4%2A73%29%29%2F2

x=%28-12%2B-+sqrt%28436%29%29%2F2

x=%28-12%2B-+2%2Asqrt%28109%29%29%2F2

x=sqrt%28109%29-6-----------as the POSITIVE root.

In the form sqrt%28a%29-b, a%2Bb=109%2B6=115.