365/w=365w=

Solution for 365/w=365w= equation:

365/w=365w=

We move all terms to the left:

365/w-(365w)=0


Domain of the equation: w!=0

w∈R


We add all the numbers together, and all the variables

-365w+365/w=0

We multiply all the terms by the denominator


-365w*w+365=0

Wy multiply elements

-365w^2+365=0

a = -365; b = 0; c = +365;
Δ = b2-4ac
Δ = 02-4·(-365)·365
Δ = 532900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{532900}=730$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-730}{2*-365}=\frac{-730}{-730}
=1
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+730}{2*-365}=\frac{730}{-730}
=-1
$