Find all complex solutions for the following equation by hand: 1+3/x=6/x^2

x=-4.37 or 1.37

Step-by-step explanation:

The equation whose solution is to be found is;

we now multiply through by

This implies that;

Subtracting - 6 from both side we obtain;

We now obtain a quadratic equation.So, let us use quadratic formula to find the solutions.

Comparing the equation ,

to the general quadratic formula,

we can say that,

a=1,b=3 and c=-6

putting this in to the quadratic formula,

, we obtain

Simplifying we obtain,

x=-4.37 or 1.37