SOLUTION: 'x/4+4/x=17/4 solve the problem'

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Question 246683: 'x/4+4/x=17/4 solve the problem'
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F4%2B4%2Fx=17%2F4 get a common denominator on the left side
x%5E2%2F4x+%2B+16%2F4x+=+17%2F4 collect terms
%28x%5E2+%2B16%29%2F4x+=+17%2F4 multiply both sides by 4x
x%5E2+%2B+16+=+17x move everything to one side and solve
x%5E2+-17x+%2B+16+=+0 we will just factor this one
%28x-16%29%28x-1%29+=+0
So x is either 16 or 1. Both work, verify your answers