X^2-6x=567

Solution for X^2-6x=567 equation:

X^2-6X=567

We move all terms to the left:

X^2-6X-(567)=0

a = 1; b = -6; c = -567;
Δ = b2-4ac
Δ = -62-4·1·(-567)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-48}{2*1}=\frac{-42}{2}
=-21
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+48}{2*1}=\frac{54}{2}
=27
$