1200+x/2x=600/x

Solution for 1200+x/2x=600/x equation:

1200+x/2x=600/x

We move all terms to the left:

1200+x/2x-(600/x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x/2x-(+600/x)+1200=0

We get rid of parentheses

x/2x-600/x+1200=0

We calculate fractions


x^2/2x^2+(-1200x)/2x^2+1200=0

We multiply all the terms by the denominator


x^2+(-1200x)+1200*2x^2=0

Wy multiply elements

x^2+2400x^2+(-1200x)=0

We get rid of parentheses

x^2+2400x^2-1200x=0

We add all the numbers together, and all the variables

2401x^2-1200x=0

a = 2401; b = -1200; c = 0;
Δ = b2-4ac
Δ = -12002-4·2401·0
Δ = 1440000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1440000}=1200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1200)-1200}{2*2401}=\frac{0}{4802}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1200)+1200}{2*2401}=\frac{2400}{4802}
=1200/2401
$