SOLUTION: solve and check please... x/2x+2=2x/4x+4+2x-3/x+1

Algebra ->  Linear-equations -> SOLUTION: solve and check please... x/2x+2=2x/4x+4+2x-3/x+1      Log On


   

Question 52335: solve and check please...
x/2x+2=2x/4x+4+2x-3/x+1
Answer by darq(90) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F2x+%2B+2+=+2x%2F4x+%2B+4+%2B+2x-+3%2Fx+%2B+1
1%2F2+%2B+2+=+1%2F2+%2B+4+%2B+2x-+3%2Fx+%2B+1
2+=+2x+-+3%2Fx+%2B+5
0+=+2x+%2B+3+-+3%2Fx
multiply both sides with x
0+=+2x%5E2+%2B3x+-+3
divide both sides with 2
0+=+x%5E2+%2B+3%2F2%2Ax+-+3%2F2
add 33/16 to both sides
33%2F16+=+x%5E2+%2B+3%2F2%2Ax+%2B+9%2F16
33%2F16+=+%28x%2B3%2F4%29%5E2
%2B-+sqrt%2833%2F16%29+=+x%2B3%2F4
%2B-+sqrt%2833%29%2F4+-+3%2F4+=+x
%28%2B-+sqrt%2833%29-3%29%2F4+=+x

so x can be both %28sqrt%2833%29-3%29%2F4 or %28-sqrt%2833%29-3%29%2F4