X^2-120x+3570=0

Solution for X^2-120x+3570=0 equation:

X^2-120X+3570=0

a = 1; b = -120; c = +3570;
Δ = b2-4ac
Δ = -1202-4·1·3570
Δ = 120
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:

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