0.75=x-300000/x

Solution for 0.75=x-300000/x equation:

0.75=x-300000/x

We move all terms to the left:

0.75-(x-300000/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-300000/x)+0.75=0

We get rid of parentheses

-x+300000/x+0.75=0

We multiply all the terms by the denominator


-x*x+(0.75)*x+300000=0

We multiply parentheses

-x*x+0.75x+300000=0

Wy multiply elements

-1x^2+0.75x+300000=0

a = -1; b = 0.75; c = +300000;
Δ = b2-4ac
Δ = 0.752-4·(-1)·300000
Δ = 1200000.5625
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{-(0.75)-\sqrt{1200000.5625}}{2*-1}=\frac{-0.75-\sqrt{1200000.5625}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.75)+\sqrt{1200000.5625}}{2*-1}=\frac{-0.75+\sqrt{1200000.5625}}{-2}
$