x^2-34*x+264=0

Solution for x^2-34*x+264=0 equation:

x^2-34x+264=0

a = 1; b = -34; c = +264;
Δ = b2-4ac
Δ = -342-4·1·264
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{-(-34)-10}{2*1}=\frac{24}{2}
=12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+10}{2*1}=\frac{44}{2}
=22
$