(x^2)-45x-46=0

Solution for (x^2)-45x-46=0 equation:

(x^2)-45x-46=0

a = 1; b = -45; c = -46;
Δ = b2-4ac
Δ = -452-4·1·(-46)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-47}{2*1}=\frac{-2}{2}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+47}{2*1}=\frac{92}{2}
=46
$