777*n=777/n

Solution for 777*n=777/n equation:

777n=777/n

We move all terms to the left:

777n-(777/n)=0


Domain of the equation: n)!=0

n!=0/1

n!=0

n∈R


We add all the numbers together, and all the variables

777n-(+777/n)=0

We get rid of parentheses

777n-777/n=0

We multiply all the terms by the denominator


777n*n-777=0

Wy multiply elements

777n^2-777=0

a = 777; b = 0; c = -777;
Δ = b2-4ac
Δ = 02-4·777·(-777)
Δ = 2414916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2414916}=1554$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1554}{2*777}=\frac{-1554}{1554}
=-1
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1554}{2*777}=\frac{1554}{1554}
=1
$