12 divided by x squared subtract 17 divided by x which equals 5

Question

this question is a quadratic equation.

Answer 1

12/x^2 - 17/x =5    

you need to get a common denominator, which is X^2. So leave  12/X^2 alone, but multiply 17/X by X to get X^2 on the bottom. That will give you...

(12- 17x)/ X^2 =5

To eliminate the X^2 from the denominator, multiply both sides of the equation by x^2. which will give you

12 - 17x = 5x^2

Subtract 5x^2 and you get.....  -5X^2 - 17x +12 = 0 when written in descending order, now you can factor.....

(-5x+3)(x+4) = 0                  Set both equal to zero. x-4=0  soo X=  - 4

                                                                                       -5x+3=0   X = 3/5