x(x-8)=2484

Solution for x(x-8)=2484 equation:

x(x-8)=2484

We move all terms to the left:

x(x-8)-(2484)=0

We multiply parentheses

x^2-8x-2484=0

a = 1; b = -8; c = -2484;
Δ = b2-4ac
Δ = -82-4·1·(-2484)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-100}{2*1}=\frac{-92}{2}
=-46
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+100}{2*1}=\frac{108}{2}
=54
$