SOLUTION: Help please I am confused and need some clarifying on this problem I seem to be getting wrong answer. Thank you! This is two fractions adding and then one is the answer 1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Help please I am confused and need some clarifying on this problem I seem to be getting wrong answer. Thank you! This is two fractions adding and then one is the answer 1       Log On


   

Question 188773: Help please I am confused and need some clarifying on this problem I seem to be getting wrong answer. Thank you!
This is two fractions adding and then one is the answer
1 + 1 = 2
-------- ------- -------
x^2 -2x + x = 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%5E2-2x%29%2B1%2Fx=2%2F3 Start with the given equation.


1%2F%28x%28x-2%29%29%2B1%2Fx=2%2F3 Factor the first denominator


Multiply EVERY term by the LCD 3x%28x-2%29 to clear the fractions.


3%2B3%28x-2%29=2x%28x-2%29 Simplify


3%2B3x-6=2x%5E2-4x Distribute


3x-3=2x%5E2-4x Combine like terms.


0=2x%5E2-4x-3x%2B3 Get everything to one side


0=2x%5E2-7x%2B3 Combine like terms.


0=%282x-1%29%28x-3%29 Factor


2x-1=0 or x-3=0 Set each factor equal to zero


x=1%2F2 or x=3 Solve for "x" in each case


So the solutions are x=1%2F2 or x=3