X^2-400x-4800000=0

Solution for X^2-400x-4800000=0 equation:

X^2-400X-4800000=0

a = 1; b = -400; c = -4800000;
Δ = b2-4ac
Δ = -4002-4·1·(-4800000)
Δ = 19360000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19360000}=4400$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-400)-4400}{2*1}=\frac{-4000}{2}
=-2000
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-400)+4400}{2*1}=\frac{4800}{2}
=2400
$