X^2-2x-182=0

Solution for X^2-2x-182=0 equation:

X^2-2X-182=0

a = 1; b = -2; c = -182;
Δ = b2-4ac
Δ = -22-4·1·(-182)
Δ = 732
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:

$\sqrt{\Delta}=\sqrt{732}=\sqrt{4*183}=\sqrt{4}*\sqrt{183}=2\sqrt{183}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{183}}{2*1}=\frac{2-2\sqrt{183}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{183}}{2*1}=\frac{2+2\sqrt{183}}{2}
$