SOLUTION: 4x - 3 --- --- x^2-4 x+2 I got x=6 but my teacher said that the answer was not complete and I want to know what I missed. Thank you.

Algebra ->  Rational-functions -> SOLUTION: 4x - 3 --- --- x^2-4 x+2 I got x=6 but my teacher said that the answer was not complete and I want to know what I missed. Thank you.       Log On


   

Question 980248: 4x - 3
--- ---
x^2-4 x+2

I got x=6 but my teacher said that the answer was not complete and I want to know what I missed. Thank you.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You do not find x equals to anything. You have an expression which either you can simplify or not.

%284x-3%29%2F%28x%5E2-4x%2B2%29

Best is try to check the denominator's factorizability.
Discriminant: %28-4%29%5E2-4%2A%282%29=16-8=8.
Denominator could be factored to have real but irrational constant terms in its binomial factors. Your expression is already simplified.

Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!

Hello,
what do you need?
What do you want to do with this rational function?

%284x+-+3%29%2F%28x%5E2-4+x%2B2%29

How can I help you?

You can answer me in the section     >>>Comments from students<<<.