x2-110x+3000=0

Solution for x2-110x+3000=0 equation:

x2-110x+3000=0

We add all the numbers together, and all the variables

x^2-110x+3000=0

a = 1; b = -110; c = +3000;
Δ = b2-4ac
Δ = -1102-4·1·3000
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-10}{2*1}=\frac{100}{2}
=50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+10}{2*1}=\frac{120}{2}
=60
$