a2+a2=705.96

Solution for a2+a2=705.96 equation:

a2+a2=705.96

We move all terms to the left:

a2+a2-(705.96)=0

We add all the numbers together, and all the variables

2a^2-705.96=0

a = 2; b = 0; c = -705.96;
Δ = b2-4ac
Δ = 02-4·2·(-705.96)
Δ = 5647.68
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{5647.68}}{2*2}=\frac{0-\sqrt{5647.68}}{4}
=-\frac{\sqrt{}}{4}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{5647.68}}{2*2}=\frac{0+\sqrt{5647.68}}{4}
=\frac{\sqrt{}}{4}
$