x2=2549

Solution for x2=2549 equation:

x2=2549

We move all terms to the left:

x2-(2549)=0

We add all the numbers together, and all the variables

x^2-2549=0

a = 1; b = 0; c = -2549;
Δ = b2-4ac
Δ = 02-4·1·(-2549)
Δ = 10196
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:

$\sqrt{\Delta}=\sqrt{10196}=\sqrt{4*2549}=\sqrt{4}*\sqrt{2549}=2\sqrt{2549}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2549}}{2*1}=\frac{0-2\sqrt{2549}}{2}
=-\frac{2\sqrt{2549}}{2}
=-\sqrt{2549}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2549}}{2*1}=\frac{0+2\sqrt{2549}}{2}
=\frac{2\sqrt{2549}}{2}
=\sqrt{2549}
$