x2=49529

Solution for x2=49529 equation:

x2=49529

We move all terms to the left:

x2-(49529)=0

We add all the numbers together, and all the variables

x^2-49529=0

a = 1; b = 0; c = -49529;
Δ = b2-4ac
Δ = 02-4·1·(-49529)
Δ = 198116
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:

$\sqrt{\Delta}=\sqrt{198116}=\sqrt{4*49529}=\sqrt{4}*\sqrt{49529}=2\sqrt{49529}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{49529}}{2*1}=\frac{0-2\sqrt{49529}}{2}
=-\frac{2\sqrt{49529}}{2}
=-\sqrt{49529}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{49529}}{2*1}=\frac{0+2\sqrt{49529}}{2}
=\frac{2\sqrt{49529}}{2}
=\sqrt{49529}
$