Question

How do you solve `(2 + 5/x) = (3/x^2)`?

Answer 1

`x=1/2 or x=-3`

Explanation:

`2+5/x=3/x^2`

`2x^2+5x=3` multiply both sides by `x^2`

`2x^2+5x-3=0` subtract `3` from both sides

`(2x-1)(x+3)=0` factorise trinomial

`2x-1=0 or x+3=0` solve quadratic equation

`x=1/2 or x=-3 ,(x!=0)`