x^2-120x+2750=0

Solution for x^2-120x+2750=0 equation:

x^2-120x+2750=0

a = 1; b = -120; c = +2750;
Δ = b2-4ac
Δ = -1202-4·1·2750
Δ = 3400
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:

$\sqrt{\Delta}=\sqrt{3400}=\sqrt{100*34}=\sqrt{100}*\sqrt{34}=10\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-120)-10\sqrt{34}}{2*1}=\frac{120-10\sqrt{34}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-120)+10\sqrt{34}}{2*1}=\frac{120+10\sqrt{34}}{2}
$