x^2-400x-14700=0

Solution for x^2-400x-14700=0 equation:

x^2-400x-14700=0

a = 1; b = -400; c = -14700;
Δ = b2-4ac
Δ = -4002-4·1·(-14700)
Δ = 218800
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:

$\sqrt{\Delta}=\sqrt{218800}=\sqrt{400*547}=\sqrt{400}*\sqrt{547}=20\sqrt{547}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-400)-20\sqrt{547}}{2*1}=\frac{400-20\sqrt{547}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-400)+20\sqrt{547}}{2*1}=\frac{400+20\sqrt{547}}{2}
$