x2-13x-484=0

Solution for x2-13x-484=0 equation:

x2-13x-484=0

We add all the numbers together, and all the variables

x^2-13x-484=0

a = 1; b = -13; c = -484;
Δ = b2-4ac
Δ = -132-4·1·(-484)
Δ = 2105
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{-(-13)-\sqrt{2105}}{2*1}=\frac{13-\sqrt{2105}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{2105}}{2*1}=\frac{13+\sqrt{2105}}{2}
$