(1089*x^2)-7623*x+13034=0

Solution for (1089*x^2)-7623*x+13034=0 equation:

(1089x^2)-7623x+13034=0

a = 1089; b = -7623; c = +13034;
Δ = b2-4ac
Δ = -76232-4·1089·13034
Δ = 1334025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1334025}=1155$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7623)-1155}{2*1089}=\frac{6468}{2178}
=2+32/33
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7623)+1155}{2*1089}=\frac{8778}{2178}
=4+1/33
$