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 646728: 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Previously Posted

3%2F%283x%29-1%2F%28x%2B1%29=+1 |Multiplying thru by 3x(x+1) so as all denominators = 1

   3(x+1) - 3x = 3x(x+1)

    3x^2+3x - 3 = 0

     x^2 + x - 1 = 0    || y = ax^2 + bx + c = 0

Perhaps easier if one started with:

1%2Fx+-+1%2F%28x%2B1%29+=+1 |Multiplying thru by x(x+1) so as all denominators = 1



  1 = x^2+x

  x^2 + x-1 = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-1+%2B-+sqrt%28+5+%29%29%2F%282%29+