n+3/n=-4

Solution for n+3/n=-4 equation:

n+3/n=-4

We move all terms to the left:

n+3/n-(-4)=0


Domain of the equation: n!=0

n∈R


We add all the numbers together, and all the variables

n+3/n+4=0

We multiply all the terms by the denominator


n*n+4*n+3=0

We add all the numbers together, and all the variables

4n+n*n+3=0

Wy multiply elements

n^2+4n+3=0

a = 1; b = 4; c = +3;
Δ = b2-4ac
Δ = 42-4·1·3
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2}{2*1}=\frac{-6}{2}
=-3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2}{2*1}=\frac{-2}{2}
=-1
$