X2-2x-483=0

Solution for X2-2x-483=0 equation:

X2-2X-483=0

We add all the numbers together, and all the variables

X^2-2X-483=0

a = 1; b = -2; c = -483;
Δ = b2-4ac
Δ = -22-4·1·(-483)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-44}{2*1}=\frac{-42}{2}
=-21
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+44}{2*1}=\frac{46}{2}
=23
$