You can
put this solution on YOUR website!X=unknown integer
1/X+1/2X+2=2/3
The common denominator for all is 3(X)(2X+2)
Multiply each term by the common denominator
3(2X+2)+3(X)=2(X)(2X+2)
use the distributive property
6X+6+3X=4x^2+4X
9X+6=4X^2+4X
subtract 9X from each side
6=4X^2-5X
Subtract 6 from both sides
0=4X^2-5X-6
This is a quadratic equation
Use the quadratic formula to solve
| Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) |
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=121 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 2, -0.75.
Here's your graph:
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X=2
Plug in 2 for the variable x in the original equatio
1/2+(1/4+2)=2/3
1/2+1/6+2/3
the common denominator is 6
3/6+1/6=4/6 simplify the term to 2/3 by dividing both numerator and denominator by 2
