Rational Equations: Rational Equations are two polynomial functions written as a ratio. For Example:
Rational equations are just like proportions, which make this quite easy to solve. All you have to do is cross multiply. In the equation above all you have to do is give the fractions a common denominator by multiplying the denominator with the numerator and denominator. After you find its common denominator you cross out the denominator and you are left with the numerator which is x²+6x=8x=24. Now you combine all like terms and you are left with a quadratic equation. Than you solve the quadratic equation and get x=6,-4.
Viola! Simple as that!
Now try this problem on your own:
![10 / [ x (x - 2) ] + 4 / x = 5 / (x - 2)](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uUXMg3uCdUyODGwOwTb65PXqpBsdr5L7Fxq3eVQtZ3dSTfHdhv18ewiP7pWvDcTfpQv44dCrvXXI6HC_lBNskQkS5BLGPlAv3sp_bsGxNtKF7rpKnYSWpk=s0-d)
Sources:
- https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcRwefBwxYVBy5zgfpLI96fhYWCofGQjqQFECXTYEK5kP1B5Sjac
- http://www.purplemath.com/modules/rational/solve04.gif
we also did problems with constants thrown in there, so we couldn't cross multiply. look for a common denom solves that.
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