181x2-186x-1080=0

Solution for 181x2-186x-1080=0 equation:

181x^2-186x-1080=0

a = 181; b = -186; c = -1080;
Δ = b2-4ac
Δ = -1862-4·181·(-1080)
Δ = 816516
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:

$\sqrt{\Delta}=\sqrt{816516}=\sqrt{36*22681}=\sqrt{36}*\sqrt{22681}=6\sqrt{22681}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-186)-6\sqrt{22681}}{2*181}=\frac{186-6\sqrt{22681}}{362}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-186)+6\sqrt{22681}}{2*181}=\frac{186+6\sqrt{22681}}{362}
$