SOLUTION: Po is trying to solve the following equation by completing the square: 49x^2+56x-64 = 0. He successfully rewrites the above equation in the following form: (ax + b)^2 = c,where a,

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Po is trying to solve the following equation by completing the square: 49x^2+56x-64 = 0. He successfully rewrites the above equation in the following form: (ax + b)^2 = c,where a,       Log On


   

Question 1086038: Po is trying to solve the following equation by completing the square: 49x^2+56x-64 = 0. He successfully rewrites the above equation in the following form: (ax + b)^2 = c,where a, b, and c are integers and a > 0. What is the value of a + b + c?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
49x^2+56x-64 = 0
49x^2+56x=64
(7x+4)^2=64+16
(7x+4)^2=80
a+b+c=7+4+80=91 ANSWER
7x+4 should equal about 9, so the root about 5/7; 7x+4 should equal about -9, so root about -1.9.
graph%28300%2C300%2C-5%2C5%2C-100%2C100%2C49x%5E2%2B56x-64%29