x2=25676

Solution for x2=25676 equation:

x2=25676

We move all terms to the left:

x2-(25676)=0

We add all the numbers together, and all the variables

x^2-25676=0

a = 1; b = 0; c = -25676;
Δ = b2-4ac
Δ = 02-4·1·(-25676)
Δ = 102704
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:

$\sqrt{\Delta}=\sqrt{102704}=\sqrt{784*131}=\sqrt{784}*\sqrt{131}=28\sqrt{131}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{131}}{2*1}=\frac{0-28\sqrt{131}}{2}
=-\frac{28\sqrt{131}}{2}
=-14\sqrt{131}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{131}}{2*1}=\frac{0+28\sqrt{131}}{2}
=\frac{28\sqrt{131}}{2}
=14\sqrt{131}
$