Patricia is trying to solve the following equation by completing the square:
25x^2 + 40x - 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?
+592 25x2+40x−10=0
25x2+40x+(40÷25)2−(40÷25)2−10=0
25x2+40x+16−16−10=0
(5x+4)2−16−10=0
(5x+4)2=26
therefore the value of a + b + c is 5 + 4 + 26, which equals 35.
