SOLUTION: SOLVE BY FACTORING CHECK BOTH ROOTS x = 10/X-3

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: SOLVE BY FACTORING CHECK BOTH ROOTS x = 10/X-3      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 188132: SOLVE BY FACTORING CHECK BOTH ROOTS

x = 10/X-3
Answer by ankor@dixie-net.com(12706) About Me  (Show Source):
You can put this solution on YOUR website!
x = 10%2F%28X-3%29
multiply both sides by (x-3), results:
x(x-3) = 10
:
x^2 - 3x = 10
:
x^2 - 3x - 10 = 0
Factors to:
(x-5)(x+2) = 0
Two solutions:
x = +5
x = -2
;
:
Check both in original equation:
5 = 10%2F%285-3%29
and
-2 = 10%2F%28-2-3%29