SOLUTION: How do I solve using the quadratic equation this problem. x + 1/x = 3/x + 3

Question 83162: How do I solve using the quadratic equation this problem.
x + 1/x = 3/x + 3
Found 2 solutions by Mogana, Mona27:
Answer by Mogana(4) (Show Source): You can put this solution on YOUR website!
x + 1/x = 3/x + 3
Multiply each individual term by x, we get
x * x + (1/x) *x = (3/x) *x + 3 *x
x^2+ 1 = 3 + 3x
Get all the terms to one side, we get
x^2 -3x-3 +1 =0
x^2 -3x -2 = 0
It is of the form ax^2+ bx +c =0
Where a =1, b =-3, c =-2
Now substitute in the equation to get roots.

Answer by Mona27(45) (Show Source): You can put this solution on YOUR website!

You can make it into a quadratic equation by multiplying each term by x (to get rid of the x's in the denominators)

Now rearrange:

And use the quadratic formula to solve:

Which gives:
x=3.56 or x=-0.56
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