90000*100/x=x

Solution for 90000*100/x=x equation:

90000*100/x=x

We move all terms to the left:

90000*100/x-(x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-1x+90000*100/x=0

We multiply all the terms by the denominator


-1x*x+90000*100=0

We add all the numbers together, and all the variables

-1x*x+9000000=0

Wy multiply elements

-1x^2+9000000=0

a = -1; b = 0; c = +9000000;
Δ = b2-4ac
Δ = 02-4·(-1)·9000000
Δ = 36000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36000000}=6000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6000}{2*-1}=\frac{-6000}{-2}
=+3000
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6000}{2*-1}=\frac{6000}{-2}
=-3000
$