x2-2085=124

Solution for x2-2085=124 equation:

x2-2085=124

We move all terms to the left:

x2-2085-(124)=0

We add all the numbers together, and all the variables

x^2-2209=0

a = 1; b = 0; c = -2209;
Δ = b2-4ac
Δ = 02-4·1·(-2209)
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-94}{2*1}=\frac{-94}{2}
=-47
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+94}{2*1}=\frac{94}{2}
=47
$