5a^2=73=3

Solution for 5a^2=73=3 equation:

5a^2=73=3

We move all terms to the left:

5a^2-(73)=0

a = 5; b = 0; c = -73;
Δ = b2-4ac
Δ = 02-4·5·(-73)
Δ = 1460
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:

$\sqrt{\Delta}=\sqrt{1460}=\sqrt{4*365}=\sqrt{4}*\sqrt{365}=2\sqrt{365}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{365}}{2*5}=\frac{0-2\sqrt{365}}{10}
=-\frac{2\sqrt{365}}{10}
=-\frac{\sqrt{365}}{5}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{365}}{2*5}=\frac{0+2\sqrt{365}}{10}
=\frac{2\sqrt{365}}{10}
=\frac{\sqrt{365}}{5}
$