x2=49169

Solution for x2=49169 equation:

x2=49169

We move all terms to the left:

x2-(49169)=0

We add all the numbers together, and all the variables

x^2-49169=0

a = 1; b = 0; c = -49169;
Δ = b2-4ac
Δ = 02-4·1·(-49169)
Δ = 196676
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:

$\sqrt{\Delta}=\sqrt{196676}=\sqrt{4*49169}=\sqrt{4}*\sqrt{49169}=2\sqrt{49169}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{49169}}{2*1}=\frac{0-2\sqrt{49169}}{2}
=-\frac{2\sqrt{49169}}{2}
=-\sqrt{49169}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{49169}}{2*1}=\frac{0+2\sqrt{49169}}{2}
=\frac{2\sqrt{49169}}{2}
=\sqrt{49169}
$