(1800/x)-2x=0

Solution for (1800/x)-2x=0 equation:

(1800/x)-2x=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1800/x)-2x=0

We add all the numbers together, and all the variables

-2x+(+1800/x)=0

We get rid of parentheses

-2x+1800/x=0

We multiply all the terms by the denominator


-2x*x+1800=0

Wy multiply elements

-2x^2+1800=0

a = -2; b = 0; c = +1800;
Δ = b2-4ac
Δ = 02-4·(-2)·1800
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-2}=\frac{-120}{-4}
=+30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-2}=\frac{120}{-4}
=-30
$