a^2+28^2=34^2

Solution for a^2+28^2=34^2 equation:

a^2+28^2=34^2

We move all terms to the left:

a^2+28^2-(34^2)=0

We add all the numbers together, and all the variables

a^2-372=0

a = 1; b = 0; c = -372;
Δ = b2-4ac
Δ = 02-4·1·(-372)
Δ = 1488
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:

$\sqrt{\Delta}=\sqrt{1488}=\sqrt{16*93}=\sqrt{16}*\sqrt{93}=4\sqrt{93}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{93}}{2*1}=\frac{0-4\sqrt{93}}{2}
=-\frac{4\sqrt{93}}{2}
=-2\sqrt{93}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{93}}{2*1}=\frac{0+4\sqrt{93}}{2}
=\frac{4\sqrt{93}}{2}
=2\sqrt{93}
$