x^2-37x+330=0

Solution for x^2-37x+330=0 equation:

x^2-37x+330=0

a = 1; b = -37; c = +330;
Δ = b2-4ac
Δ = -372-4·1·330
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-7}{2*1}=\frac{30}{2}
=15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+7}{2*1}=\frac{44}{2}
=22
$