SOLUTION: Hi, Im having problems trying to solve these rational equations. Can you help. x/3 = 4/x+1

Question 206063: Hi, Im having problems trying to solve these rational equations. Can you help.
x/3 = 4/x+1

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x/3 = 4/x+1
x/3-4/x=1
(x*x-3*4)/3x=1
(x^2-12)/3x=1
x^2-12=3x
x^2-12-3x=0
x^2-3x-12=0

x=(3+-sqrt[-362-4*1*-12])/2*1
x=(3+-sqrt[9+48])/2
x=(3+-sqrt57)/2
x=(3+-7.55)/2
x=10.55/2
x=5.275 ans.
x=3-7.55)/2
x=-4.55/2
x=-2.275 ans.
OR.
x/3=4/(x+1)
x(x+1)=3*4
x^2+x=12
x^2+x-12=0
(x-4)(x+3)=0
x-4=0
x=4 ans.
x+3=0
x=-3 ans.
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