SOLUTION: try n solve this algebraicly with the working: The sum of two numbers is 43, and their product is 450. What is their difference? PLS

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Question 608056: try n solve this algebraicly with the working: The sum of two numbers is 43, and their product is 450. What is their difference? PLS
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The sum of two numbers is 43" ___ x + y = 43 ___ y = 43 - x

"their product is 450" ___ xy = 450

substituting ___ x(43 - x) = 450 ___ 43x - x^2 = 450 ___ 0 = x^2 - 43x + 450

factoring ___ 0 = (x - 25)(x - 18)


a quick analysis can yield the solution
___ one of the factors of 450 has to end in 0 or 5
___ 5 and 38...no
___ 10 and 33...no
___ 15 and 28...no
___ 20 and 23...no
___ 25 and 18...jackpot