4x^2-105.5x-182=0

Solution for 4x^2-105.5x-182=0 equation:

4x^2-105.5x-182=0

a = 4; b = -105.5; c = -182;
Δ = b2-4ac
Δ = -105.52-4·4·(-182)
Δ = 14042.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105.5)-\sqrt{14042.25}}{2*4}=\frac{105.5-\sqrt{14042.25}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105.5)+\sqrt{14042.25}}{2*4}=\frac{105.5+\sqrt{14042.25}}{8}
$