SOLUTION: Solve for x: 3/x + 4 = (x + 1)/x

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Question 259249: Solve for x:
3/x + 4 = (x + 1)/x
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
3/x + 4 = (x + 1)/x
so 3x=(x+1)*(x+4)
=> 3x = x^2+5x+4
=> x^2+2x+4=0
to solve we can just use the formula for solving a quadratic
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
or follow
=> (x+1)^2 + 3=0
=> x+1= + or - (3)^.5 i (i - imaginary)
so x= 1+root3 i and 1-root3 i