(12.6/100)x(X)=16410

Solution for (12.6/100)x(X)=16410 equation:

(12.6/100)x(x)=16410

We move all terms to the left:

(12.6/100)x(x)-(16410)=0


Domain of the equation: 100)xx!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+12.6/100)xx-16410=0

We multiply parentheses

12x^2-16410=0

a = 12; b = 0; c = -16410;
Δ = b2-4ac
Δ = 02-4·12·(-16410)
Δ = 787680
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:

$\sqrt{\Delta}=\sqrt{787680}=\sqrt{144*5470}=\sqrt{144}*\sqrt{5470}=12\sqrt{5470}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{5470}}{2*12}=\frac{0-12\sqrt{5470}}{24}
=-\frac{12\sqrt{5470}}{24}
=-\frac{\sqrt{5470}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{5470}}{2*12}=\frac{0+12\sqrt{5470}}{24}
=\frac{12\sqrt{5470}}{24}
=\frac{\sqrt{5470}}{2}
$