x2=2156

Solution for x2=2156 equation:

x2=2156

We move all terms to the left:

x2-(2156)=0

We add all the numbers together, and all the variables

x^2-2156=0

a = 1; b = 0; c = -2156;
Δ = b2-4ac
Δ = 02-4·1·(-2156)
Δ = 8624
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:

$\sqrt{\Delta}=\sqrt{8624}=\sqrt{784*11}=\sqrt{784}*\sqrt{11}=28\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{11}}{2*1}=\frac{0-28\sqrt{11}}{2}
=-\frac{28\sqrt{11}}{2}
=-14\sqrt{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{11}}{2*1}=\frac{0+28\sqrt{11}}{2}
=\frac{28\sqrt{11}}{2}
=14\sqrt{11}
$