54x2+1710x+8820=0

Solution for 54x2+1710x+8820=0 equation:

54x^2+1710x+8820=0

a = 54; b = 1710; c = +8820;
Δ = b2-4ac
Δ = 17102-4·54·8820
Δ = 1018980
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1018980}=\sqrt{324*3145}=\sqrt{324}*\sqrt{3145}=18\sqrt{3145}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1710)-18\sqrt{3145}}{2*54}=\frac{-1710-18\sqrt{3145}}{108}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1710)+18\sqrt{3145}}{2*54}=\frac{-1710+18\sqrt{3145}}{108}
$