57x^2-183x-180=0

Solution for 57x^2-183x-180=0 equation:

57x^2-183x-180=0

a = 57; b = -183; c = -180;
Δ = b2-4ac
Δ = -1832-4·57·(-180)
Δ = 74529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{74529}=273$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-183)-273}{2*57}=\frac{-90}{114}
=-15/19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-183)+273}{2*57}=\frac{456}{114}
=4
$