X^2-3x=648

Solution for X^2-3x=648 equation:

X^2-3X=648

We move all terms to the left:

X^2-3X-(648)=0

a = 1; b = -3; c = -648;
Δ = b2-4ac
Δ = -32-4·1·(-648)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-51}{2*1}=\frac{-48}{2}
=-24
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+51}{2*1}=\frac{54}{2}
=27
$