SOLUTION: please help me with this problem solve for x x=3/x+1 this is what i have so far x(x+1)=3 (x+3)(x-1)=0 ?

Question 34577: please help me with this problem
solve for x
x=3/x+1
this is what i have so far
x(x+1)=3
(x+3)(x-1)=0
?
Found 2 solutions by MrTillman, Earlsdon:
Answer by MrTillman(3) (Show Source): You can put this solution on YOUR website!
First thing you need to do is get rid of the fraction, thus you multiply x by each term, which gives you a quadratic equation:

set equal to 0

This quadractic doesnt factor, so you have to 'complete the square' like this: first isolate the variable terms to get
Make sure first term has coefficient of 1, it does
Then take coefficient of middle term (-x) and find the perfect square trinomial like this: which gives you 1/4 or .25
Just add this to both sides to and you get
Now you can factor the left side of this to get
Now you can solve for x using the square root method by taking square root of both sides to get =
x= 2.303
Check 2.303 = 3/2.303 + 1
2.303=1.303+1 yes
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x: Your first step is correct.
Multiply both sides by (x+1)
Simplify...here's where you erred!
Subtract 3 from both sides.
Solve this quadratic equation using the quadratic formula:.

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