x2+401x-6240=0

Solution for x2+401x-6240=0 equation:

x2+401x-6240=0

We add all the numbers together, and all the variables

x^2+401x-6240=0

a = 1; b = 401; c = -6240;
Δ = b2-4ac
Δ = 4012-4·1·(-6240)
Δ = 185761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{185761}=431$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(401)-431}{2*1}=\frac{-832}{2}
=-416
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(401)+431}{2*1}=\frac{30}{2}
=15
$