X^2-46x-360=0

Solution for X^2-46x-360=0 equation:

X^2-46X-360=0

a = 1; b = -46; c = -360;
Δ = b2-4ac
Δ = -462-4·1·(-360)
Δ = 3556
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:

$\sqrt{\Delta}=\sqrt{3556}=\sqrt{4*889}=\sqrt{4}*\sqrt{889}=2\sqrt{889}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-2\sqrt{889}}{2*1}=\frac{46-2\sqrt{889}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+2\sqrt{889}}{2*1}=\frac{46+2\sqrt{889}}{2}
$