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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?

 May 11, 2021
 #1
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(5x   +4 )(5x + 4 ) = 25x^2 + 40 x + 16         so we need to subtract 26 to get to -10 (in the original equation)

(5x-4)^2 - 26  

(5x-4)^2 = 26     You can finish......cheeky

 May 11, 2021
edited by ElectricPavlov  May 11, 2021

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