x^2-120x+3480=0

Solution for x^2-120x+3480=0 equation:

x^2-120x+3480=0

a = 1; b = -120; c = +3480;
Δ = b2-4ac
Δ = -1202-4·1·3480
Δ = 480
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:

$\sqrt{\Delta}=\sqrt{480}=\sqrt{16*30}=\sqrt{16}*\sqrt{30}=4\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-120)-4\sqrt{30}}{2*1}=\frac{120-4\sqrt{30}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-120)+4\sqrt{30}}{2*1}=\frac{120+4\sqrt{30}}{2}
$