5a*5a-44=81

Solution for 5a*5a-44=81 equation:

5a*5a-44=81

We move all terms to the left:

5a*5a-44-(81)=0

We add all the numbers together, and all the variables

5a*5a-125=0

Wy multiply elements

25a^2-125=0

a = 25; b = 0; c = -125;
Δ = b2-4ac
Δ = 02-4·25·(-125)
Δ = 12500
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:

$\sqrt{\Delta}=\sqrt{12500}=\sqrt{2500*5}=\sqrt{2500}*\sqrt{5}=50\sqrt{5}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-50\sqrt{5}}{2*25}=\frac{0-50\sqrt{5}}{50}
=-\frac{50\sqrt{5}}{50}
=-\sqrt{5}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+50\sqrt{5}}{2*25}=\frac{0+50\sqrt{5}}{50}
=\frac{50\sqrt{5}}{50}
=\sqrt{5}
$