Jamie S.

asked • 03/09/17

HELP ASAP!!!! PLEASE! Solving Rational Equations!!!

We're solving rational equations and we get extra credit if we have this problem answered by tomorrow!
 
x+5/x^2-6x-27+x-17/x^2-18x+77=x+1/x^2-14x+33
 
Please include all of your work! 
 
My teacher said there is 3 answers. I've tried working this problem out and can't seem to make the numbers work. 
 
Please help asap!!!!!!!!!!!!

Kenneth S.

I am hoping that the teacher said there ARE three answers.
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03/09/17

Kenneth S.

No doubt that your denominators, which are quadratic polynomials, should have been enclosed in parentheses.
Factor all of them.
Choose the LCD.  Make adjustments to use the common denominator for all terms.
Once the entire problem has the same common denominator on each side, you just set the two numerators equal and solve that! (Be sure that none of the answers is a root of any denominator--those must be ruled out.
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03/09/17

1 Expert Answer

By:

Patrick D. answered • 03/15/17

Patrick the Math Doctor

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