x2=14425

Solution for x2=14425 equation:

x2=14425

We move all terms to the left:

x2-(14425)=0

We add all the numbers together, and all the variables

x^2-14425=0

a = 1; b = 0; c = -14425;
Δ = b2-4ac
Δ = 02-4·1·(-14425)
Δ = 57700
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:

$\sqrt{\Delta}=\sqrt{57700}=\sqrt{100*577}=\sqrt{100}*\sqrt{577}=10\sqrt{577}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{577}}{2*1}=\frac{0-10\sqrt{577}}{2}
=-\frac{10\sqrt{577}}{2}
=-5\sqrt{577}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{577}}{2*1}=\frac{0+10\sqrt{577}}{2}
=\frac{10\sqrt{577}}{2}
=5\sqrt{577}
$