SOLUTION: Hi! Please transform the given rational equation to quadratic equation. *Okay, This is confusing but please do it and kindly explain how you did it. Thank you so much!* x +

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hi! Please transform the given rational equation to quadratic equation. *Okay, This is confusing but please do it and kindly explain how you did it. Thank you so much!* x +       Log On


   

Question 891461: Hi! Please transform the given rational equation to quadratic equation.
*Okay, This is confusing but please do it and kindly explain how you did it. Thank you so much!*
x + 8/x-2 = 1 + 4x/x-2
Words: X plus 8 over x minus 2, equal to 1 plus 4x over x minus 2.
Thank you!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
OK, first off, simplify.
x-1=%284x%29%2F%28x-2%29-8%2F%28x-2%29
x-1=%284x-8%29%2F%28x-2%29
x-1=4%28%28x-2%29%2F%28x-2%29%29
x-1=4
x=5
.
.
.
OK, now the hard way. Use the common denominator %28x-2%29
x%28%28x-2%29%2F%28x-2%29%29%2B8%2F%28x-2%29=%28x-2%29%2F%28x-2%29%2B%284x%29%2F%28x-2%29
%28x%5E2-2x%29%2F%28x-2%29%2B8%2F%28x-2%29=%28x-2%2B4x%29%2F%28x-2%29
%28x%5E2-2x%2B8%29%2F%28x-2%29=%285x-2%29%2F%28x-2%29
%28x%5E2-2x%2B8-%285x-2%29%29%2F%28x-2%29=0
%28x%5E2-2x%2B8-5x%2B2%29%2F%28x-2%29=0
%28x%5E2-7x%2B10%29%2F%28x-2%29=0
%28%28x-5%29%28x-2%29%29%2F%28x-2%29=0
x-5=0
x=5