SOLUTION: If a certain number, x, is added to 4/(x+1), the result is 3. Find the number.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If a certain number, x, is added to 4/(x+1), the result is 3. Find the number.      Log On


   

Question 655271: If a certain number, x, is added to 4/(x+1), the result is 3. Find the number.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
4/(X+1)+X=3
4/(X+1)=3-X CROSS MULTIPLY
(3-X)(X+1=4
3X-X^2+3-X=4
-X^2+2X+3=4
X^2-2X-3+4=0
X^2-2X+1=0
(X-1)(X-1)=0
X-1=0
X=1 ANS.
PROOF:
4/(1+1)+1=3
4/2+1=3
2+1=3
3=3