SOLUTION: One of two positive integers is 8 more than the other. If the product of the two integers is 84, find the integers. Must be solved in an algebraic solution.
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Question 252829: One of two positive integers is 8 more than the other. If the product of the two integers is 84, find the integers. Must be solved in an algebraic solution. Found 2 solutions by richwmiller, edjones:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! let n= first and n+8= second
n*(n+8)=84
n^2+8n=84
complete the square
8/2=4
4^2=16
add 16 to both sides
n^2+8n+16=84+16
(n+4)^2=100
n+4=+\-10
n=-4+10
n=-4-10
n=6
n=-14
we discard the negative root
n=6
n+8=14
check
6*14=84
84=ok
