SOLUTION: 30.) Solve each equation. x/3=4/x+1

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Question 163898This question is from textbook Elementary and Intermediate
: 30.) Solve each equation.
x/3=4/x+1 This question is from textbook Elementary and Intermediate

Answer by mathispowerful(115) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F3=4%2Fx%2B1
multiply both sides by 3x:
3x%2A%28x%2F3%29 = 3x%2A%284%2Fx%29%2B3x%2A1
simplify:
x%5E2 = 12 + 3x
x%5E2+-3x+-12 = 0
solve it using quadratic formula
x = %283%2Bsqrt%2851%29%29%2F2
x = %283-sqrt%2851%29%29%2F2
There is a free quadratic equation solver at
http://www.axiamathhomeworkhelp.com