880/n=220,n

Solution for 880/n=220,n equation:

880/n=220.n

We move all terms to the left:

880/n-(220.n)=0


Domain of the equation: n!=0

n∈R


We add all the numbers together, and all the variables

880/n-(+220.n)=0

We get rid of parentheses

880/n-220.n=0

We multiply all the terms by the denominator


-(220.n)*n+880=0

We add all the numbers together, and all the variables

-(+220.n)*n+880=0

We multiply parentheses

-220n^2+880=0

a = -220; b = 0; c = +880;
Δ = b2-4ac
Δ = 02-4·(-220)·880
Δ = 774400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{774400}=880$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-880}{2*-220}=\frac{-880}{-440}
=+2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+880}{2*-220}=\frac{880}{-440}
=-2
$