SOLUTION: hello I am having a hard time solving this equation, and would appreciate it if you would help me solve this problem: 1 1 1 - + - = - x x+3 4 I tried to rear

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Question 526830: hello I am having a hard time solving this equation, and would appreciate it if you would help me solve this problem:
1 1 1
- + - = -
x x+3 4
I tried to rearrange numbers to eliminate fractions and got
and got 4 = 2x + 3
1 = 2x

1
- = x
2
I am really struggling solving quadratic problems involving fractions. Wondering if you may have any tips or suggestions. Thank you in advance. -Shae

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

trick is to multiply both sides by a common denominator 4x(x+3) to rid ourselves of all the denominators:
.
Multiplying both sides by 4x(x+3) we get:





since we can't factor, we apply the quadratic formula to get:
x = {6.772, -1.772}
.
Details of quadratic formula follows:
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=73 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6.77200187265877, -1.77200187265877. Here's your graph:
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