SOLUTION: please help me solve this equation: solve the equation. check your answer. 28/x - 28/x-3 = -3

Algebra ->  Finance -> SOLUTION: please help me solve this equation: solve the equation. check your answer. 28/x - 28/x-3 = -3      Log On


   

Question 471217: please help me solve this equation:
solve the equation. check your answer.
28/x - 28/x-3 = -3
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
in case you have this:
28%2Fx+-+28%2F%28x-3%29++=+-3....common denominator is x%28x-3%29
28%28x-3%29%2Fx%28x-3%29+-+28x%2Fx%28x-3%29++=+-3
%2828%28x-3%29-+28x%29%2Fx%28x-3%29++=+-3


%2828x-84-+28x%29%2F%28x%5E2-3x%29++=+-3

-84=+-3%28x%5E2-3x%29

-3%28x%5E2-3x%29=-84....both sides multiply by -1
3%28x%5E2-3x%29=84
3x%5E2-9x-84=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-%28-9%29+%2B-+sqrt%28+%28-9%29%5E2-4%2A3%2A%28-84%29+%29%29%2F%282%2A3%29+

x+=+%289+%2B-+sqrt%2881%2B1008%29%29%2F6+

x+=+%289+%2B-+sqrt%281089%29%29%2F6+

x+=+%289+%2B-+33%29%2F6+
solutions:
x+=+%289+%2B+33%29%2F6+
x+=+42%2F6+
x+=+7+
or
x+=+%289+-+33%29%2F6+
x+=+-24%2F6+
x+=+-4+