Patricia is trying to solve the following equation by completing the square:

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

25x^2 + 20x - 10 = 0

. She 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