361=q2

Solution for 361=q2 equation:

361=q2

We move all terms to the left:

361-(q2)=0

We add all the numbers together, and all the variables

-1q^2+361=0

a = -1; b = 0; c = +361;
Δ = b2-4ac
Δ = 02-4·(-1)·361
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-38}{2*-1}=\frac{-38}{-2}
=+19
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+38}{2*-1}=\frac{38}{-2}
=-19
$