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

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23