SOLUTION: Professor I'm sorry to keep bothering you but I'm really desperate with this problem. I have no idea how to solve it at all. My worksheet says solve the equation and I think it's q

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Professor I'm sorry to keep bothering you but I'm really desperate with this problem. I have no idea how to solve it at all. My worksheet says solve the equation and I think it's q      Log On


   



Question 646727: Professor I'm sorry to keep bothering you but I'm really desperate with this problem. I have no idea how to solve it at all. My worksheet says solve the equation and I think it's quadratic. Please help me with this.
(3/3x)-(1/x+1)= 1
And here are my choices (A)0 (B)-1+the square root of 5 over 2 (C)-3+ the square root of 5 over 2 or (D) 1+ square root of 5 ovr 2
I tried finding the common denominator, as a result I got 0 but I'm not sure if that's correct. Thank you so much for your time. I highly appreciate this.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming this is the equation
3%2F%283x%29-1%2F%28x%2B1%29 = 1
just cancel the 3 leaving
1%2Fx-1%2F%28x%2B1%29 = 1
multiply both sides by x(x+1), results:
(x+1) - x = x(x+1)
x -x + 1 = x^2 + x
A quadratic equation
x^2 + x - 1 = 0
use the quadratic formula; a=1; b=1; c=-1
x+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A-1+%29%29%2F%282%2A1%29+
:
x+=+%28-1+%2B-+sqrt%281%2B4+%29%29%2F2+
Two solutions
x+=+%28-1+%2B+sqrt%285+%29%29%2F2+
and
x+=+%28-1+-+sqrt%285+%29%29%2F2+