777*n=777/n*2

Solution for 777*n=777/n*2 equation:

777n=777/n*2

We move all terms to the left:

777n-(777/n*2)=0


Domain of the equation: n*2)!=0

n!=0/1

n!=0

n∈R


We add all the numbers together, and all the variables

777n-(+777/n*2)=0

We get rid of parentheses

777n-777/n*2=0

We multiply all the terms by the denominator


777n*n*2-777=0

Wy multiply elements

1554n^2*2-777=0

Wy multiply elements

3108n^2-777=0

a = 3108; b = 0; c = -777;
Δ = b2-4ac
Δ = 02-4·3108·(-777)
Δ = 9659664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9659664}=3108$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3108}{2*3108}=\frac{-3108}{6216}
=-1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3108}{2*3108}=\frac{3108}{6216}
=1/2
$