2a^2=900

Solution for 2a^2=900 equation:

2a^2=900

We move all terms to the left:

2a^2-(900)=0

a = 2; b = 0; c = -900;
Δ = b2-4ac
Δ = 02-4·2·(-900)
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*2}=\frac{0-60\sqrt{2}}{4}
=-\frac{60\sqrt{2}}{4}
=-15\sqrt{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*2}=\frac{0+60\sqrt{2}}{4}
=\frac{60\sqrt{2}}{4}
=15\sqrt{2}
$