528=(5500)(x)(2)

Solution for 528=(5500)(x)(2) equation:

528=(5500)(x)(2)

We move all terms to the left:

528-((5500)(x)(2))=0

determiningTheFunctionDomain
-5500x2+528=0

We add all the numbers together, and all the variables

-5500x^2+528=0

a = -5500; b = 0; c = +528;
Δ = b2-4ac
Δ = 02-4·(-5500)·528
Δ = 11616000
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:

$\sqrt{\Delta}=\sqrt{11616000}=\sqrt{774400*15}=\sqrt{774400}*\sqrt{15}=880\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-880\sqrt{15}}{2*-5500}=\frac{0-880\sqrt{15}}{-11000}
=-\frac{880\sqrt{15}}{-11000}
=-\frac{2\sqrt{15}}{-25}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+880\sqrt{15}}{2*-5500}=\frac{0+880\sqrt{15}}{-11000}
=\frac{880\sqrt{15}}{-11000}
=\frac{2\sqrt{15}}{-25}
$