14400/x=x

Solution for 14400/x=x equation:

14400/x=x

We move all terms to the left:

14400/x-(x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-1x+14400/x=0

We multiply all the terms by the denominator


-1x*x+14400=0

Wy multiply elements

-1x^2+14400=0

a = -1; b = 0; c = +14400;
Δ = b2-4ac
Δ = 02-4·(-1)·14400
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*-1}=\frac{-240}{-2}
=+120
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*-1}=\frac{240}{-2}
=-120
$