361z^2-1=0

Solution for 361z^2-1=0 equation:

361z^2-1=0

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

$\sqrt{\Delta}=\sqrt{1444}=38$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-38}{2*361}=\frac{-38}{722}
=-1/19
$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+38}{2*361}=\frac{38}{722}
=1/19
$