x^2=1369,

Solution for x^2=1369, equation:

x^2=1369.

We move all terms to the left:

x^2-(1369.)=0

We add all the numbers together, and all the variables

x^2-1369=0

a = 1; b = 0; c = -1369;
Δ = b2-4ac
Δ = 02-4·1·(-1369)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-74}{2*1}=\frac{-74}{2}
=-37
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+74}{2*1}=\frac{74}{2}
=37
$