x2=9400

Solution for x2=9400 equation:

x2=9400

We move all terms to the left:

x2-(9400)=0

We add all the numbers together, and all the variables

x^2-9400=0

a = 1; b = 0; c = -9400;
Δ = b2-4ac
Δ = 02-4·1·(-9400)
Δ = 37600
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:

$\sqrt{\Delta}=\sqrt{37600}=\sqrt{400*94}=\sqrt{400}*\sqrt{94}=20\sqrt{94}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{94}}{2*1}=\frac{0-20\sqrt{94}}{2}
=-\frac{20\sqrt{94}}{2}
=-10\sqrt{94}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{94}}{2*1}=\frac{0+20\sqrt{94}}{2}
=\frac{20\sqrt{94}}{2}
=10\sqrt{94}
$