x2=49841

Solution for x2=49841 equation:

x2=49841

We move all terms to the left:

x2-(49841)=0

We add all the numbers together, and all the variables

x^2-49841=0

a = 1; b = 0; c = -49841;
Δ = b2-4ac
Δ = 02-4·1·(-49841)
Δ = 199364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{199364}=\sqrt{4*49841}=\sqrt{4}*\sqrt{49841}=2\sqrt{49841}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{49841}}{2*1}=\frac{0-2\sqrt{49841}}{2}
=-\frac{2\sqrt{49841}}{2}
=-\sqrt{49841}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{49841}}{2*1}=\frac{0+2\sqrt{49841}}{2}
=\frac{2\sqrt{49841}}{2}
=\sqrt{49841}
$