SOLUTION: Solve this equation: x/3 = 4/x+1

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Question 178562: Solve this equation: x/3 = 4/x+1
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Since no parenthesis used, we assumed the following:
%28x%2F3%29=4%2F%28x%2B1%29
cross multiply,
x%28x%2B1%29=4%2A3
x%5E2%2Bx=12--->x%5E2%2Bx-12=0
By QUADRATIC, wheresystem%28a=1%2Cb=1%2Cc=-12%29

x=%28-1%2B-sqrt%281%2B48%29%29%2F2=%28-1%2B-sqrt%2849%29%29%2F2=%281%2B-7%29%2F2
2 values:
x=%28-1%2B7%29%2F2=6%2F2=highlight%283%29 Answer
x=%28-1-7%29%2F2=-8%2F2=-4, discard
Check:
3%2F3=4%2F%283%2B1%29
1=4%2F4
1=1
Thank you,
Jojo