x2-43x-462=0

Solution for x2-43x-462=0 equation:

x2-43x-462=0

We add all the numbers together, and all the variables

x^2-43x-462=0

a = 1; b = -43; c = -462;
Δ = b2-4ac
Δ = -432-4·1·(-462)
Δ = 3697
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-43)-\sqrt{3697}}{2*1}=\frac{43-\sqrt{3697}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+\sqrt{3697}}{2*1}=\frac{43+\sqrt{3697}}{2}
$