.6377=x-30000/x

Solution for .6377=x-30000/x equation:

.6377=x-30000/x

We move all terms to the left:

.6377-(x-30000/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x-30000/x)+.6377=0

We add all the numbers together, and all the variables

-(+x-30000/x)+0.6377=0

We get rid of parentheses

-x+30000/x+0.6377=0

We multiply all the terms by the denominator


-x*x+(0.6377)*x+30000=0

We multiply parentheses

-x*x+0.6377x+30000=0

Wy multiply elements

-1x^2+0.6377x+30000=0

a = -1; b = 0.6377; c = +30000;
Δ = b2-4ac
Δ = 0.63772-4·(-1)·30000
Δ = 120000.40666129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.6377)-\sqrt{120000.40666129}}{2*-1}=\frac{-0.6377-\sqrt{120000.40666129}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.6377)+\sqrt{120000.40666129}}{2*-1}=\frac{-0.6377+\sqrt{120000.40666129}}{-2}
$