x+12/100xx=2240

Solution for x+12/100xx=2240 equation:

x+12/100xx=2240

We move all terms to the left:

x+12/100xx-(2240)=0


Domain of the equation: 100xx!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


x*100xx-2240*100xx+12=0

Wy multiply elements

100x^2-224000x+12=0

a = 100; b = -224000; c = +12;
Δ = b2-4ac
Δ = -2240002-4·100·12
Δ = 50175995200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{50175995200}=\sqrt{1600*31359997}=\sqrt{1600}*\sqrt{31359997}=40\sqrt{31359997}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-224000)-40\sqrt{31359997}}{2*100}=\frac{224000-40\sqrt{31359997}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-224000)+40\sqrt{31359997}}{2*100}=\frac{224000+40\sqrt{31359997}}{200}
$