SOLUTION: This is a proportion problem I am having trouble with x/4=(x+8)/x Thank you for your help

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Question 199813: This is a proportion problem I am having trouble with
x/4=(x+8)/x
Thank you for your help
Found 3 solutions by edjones, solver91311, Mathtut:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x/4=(x+8)/x
x^2=4(x+8) Multiply each side by 4x (LCM) to eliminate fractions.
x^2=4x+32
x^2-4x-32=0
(x-8)(x+4)=0
x=8, x=-4
.
Ed

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Cross multiply:



Add to both sides:



Now just factor the quadratic and use the Zero Product Rule. Hint: and


John

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F4=%28x%2B8%29%2Fx
:
x%5E2=4x%2B32
:
x%5E2-4x-32=0
:
%28x-8%29%28x%2B4%29=0
:
x=8 or -4