17x^2-180x+468=0

Solution for 17x^2-180x+468=0 equation:

17x^2-180x+468=0

a = 17; b = -180; c = +468;
Δ = b2-4ac
Δ = -1802-4·17·468
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-180)-24}{2*17}=\frac{156}{34}
=4+10/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-180)+24}{2*17}=\frac{204}{34}
=6
$