SOLUTION: I need to solve this equation: 1 - 3/x = 4/x^2

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Question 187495: I need to solve this equation:
1 - 3/x = 4/x^2
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equation:
1 - 3/x = 4/x^2
------------
Multiply thru by x^2 to get:
x^2 - 3x = 4
---------------
Rearrange:
x^2 - 3x -4 = 0
-----
Factor:
(x-4)(x+1) = 0
x = 4 or x = -1
===================================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1+-+3%2Fx+=+4%2F%28x%5E2%29
Multiply both sides by x%5E2
x%5E2+-+3x+=+4
Use complete the square method
x%5E2+-+3x+%2B+%283%2F2%29%5E2+=+4+%2B+%283%2F2%29%5E2
x%5E2+-+3x+%2B+9%2F4+=+16%2F4+%2B+9%2F4
%28x+-+%283%2F2%29%29%5E2+=+%285%2F2%29%5E2
x+-+3%2F2+=+5%2F2
x+-+3%2F2+=+-%285%2F2%29
x+=+4
x+=+-1
check answers:
1+-+3%2Fx+=+4%2F%28x%5E2%29
x+=+4
1+-+3%2F4+=+4%2F%284%5E2%29
1+-+3%2F4+=+1%2F4
1%2F4+=+1%2F4
OK
x+=+-1
1+-+3%2Fx+=+4%2F%28x%5E2%29
1+-+3%2F%28-1%29+=+4%2F%28%28-1%29%5E2%29
1+-+%28-3%29+=+4
1+%2B+3+=+4
4+=+4
OK