x^2-121x+120=0

Solution for x^2-121x+120=0 equation:

x^2-121x+120=0

a = 1; b = -121; c = +120;
Δ = b2-4ac
Δ = -1212-4·1·120
Δ = 14161
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14161}=119$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-121)-119}{2*1}=\frac{2}{2}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-121)+119}{2*1}=\frac{240}{2}
=120
$