SOLUTION: first, write the values that make the denominators zero. then solve the equation? 10/5x-5 + 1/5 = 2/x-1

Algebra ->  Equations -> SOLUTION: first, write the values that make the denominators zero. then solve the equation? 10/5x-5 + 1/5 = 2/x-1      Log On


   

Question 644364: first, write the values that make the denominators zero. then solve the equation?
10/5x-5 + 1/5 = 2/x-1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
10%2F%285x-5%29+%2B+1%2F5+=+2%2F%28x-1%29
the values that make the denominators zero:
5x-5=0...=>..5x=5=>..x=5%2F5=>..x=1
x-1=0=>..x=1

%2810+%2B+1%285x-5%29%29%2F5%285x-5%29+=+2%2F%28x-1%29
%2810+%2B+5x-5%29%2F5%285x-5%29+=+2%2F%28x-1%29
%285x%2B5%29%2F5%285x-5%29+=+2%2F%28x-1%29
5%28x%2B1%29%2F5%285x-5%29+=+2%2F%28x-1%29
%28x%2B1%29%2F%285x-5%29+=+2%2F%28x-1%29.........cross multiply

%28x%2B1%29%28x-1%29+=+2%285x-5%29
x%5E2-1+=+10x-10
x%5E2-1-10x%2B10=0
x%5E2-10x%2B9=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-10%29+%2B-+sqrt%28+%2810%29%5E2-4%2A1%2A9+%29%29%2F%282%2A1%29+
x+=+%2810+%2B-+sqrt%28+100-36+%29%29%2F2+
x+=+%2810+%2B-+sqrt%28+64+%29%29%2F2+
x+=+%2810+%2B-+8%29%2F2+
solutions:
x+=+%2810+%2B+8%29%2F2+
x+=+18%2F2+
x+=+9+
x+=+%2810+-+8%29%2F2+
x+=+2%2F2+
x+=+1+

+graph%28+600%2C+600%2C+-5%2C+15%2C+-20%2C+10%2C+x%5E2-10x%2B9%29+