3x^2=3072

Solution for 3x^2=3072 equation:

3x^2=3072

We move all terms to the left:

3x^2-(3072)=0

a = 3; b = 0; c = -3072;
Δ = b2-4ac
Δ = 02-4·3·(-3072)
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-192}{2*3}=\frac{-192}{6}
=-32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+192}{2*3}=\frac{192}{6}
=32
$