400/a(2)=244

Solution for 400/a(2)=244 equation:

400/a(2)=244

We move all terms to the left:

400/a(2)-(244)=0


Domain of the equation: a2!=0

a^2!=0/

a^2!=√0

a!=0

a∈R


We multiply all the terms by the denominator


-244*a2+400=0

We add all the numbers together, and all the variables

-244a^2+400=0

a = -244; b = 0; c = +400;
Δ = b2-4ac
Δ = 02-4·(-244)·400
Δ = 390400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{390400}=\sqrt{6400*61}=\sqrt{6400}*\sqrt{61}=80\sqrt{61}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80\sqrt{61}}{2*-244}=\frac{0-80\sqrt{61}}{-488}
=-\frac{80\sqrt{61}}{-488}
=-\frac{10\sqrt{61}}{-61}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80\sqrt{61}}{2*-244}=\frac{0+80\sqrt{61}}{-488}
=\frac{80\sqrt{61}}{-488}
=\frac{10\sqrt{61}}{-61}
$