x2=49289

Solution for x2=49289 equation:

x2=49289

We move all terms to the left:

x2-(49289)=0

We add all the numbers together, and all the variables

x^2-49289=0

a = 1; b = 0; c = -49289;
Δ = b2-4ac
Δ = 02-4·1·(-49289)
Δ = 197156
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:

$\sqrt{\Delta}=\sqrt{197156}=\sqrt{4*49289}=\sqrt{4}*\sqrt{49289}=2\sqrt{49289}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{49289}}{2*1}=\frac{0-2\sqrt{49289}}{2}
=-\frac{2\sqrt{49289}}{2}
=-\sqrt{49289}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{49289}}{2*1}=\frac{0+2\sqrt{49289}}{2}
=\frac{2\sqrt{49289}}{2}
=\sqrt{49289}
$