x2=49729

Solution for x2=49729 equation:

x2=49729

We move all terms to the left:

x2-(49729)=0

We add all the numbers together, and all the variables

x^2-49729=0

a = 1; b = 0; c = -49729;
Δ = b2-4ac
Δ = 02-4·1·(-49729)
Δ = 198916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{198916}=446$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-446}{2*1}=\frac{-446}{2}
=-223
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+446}{2*1}=\frac{446}{2}
=223
$