X^2-2x=19.25

Solution for X^2-2x=19.25 equation:

X^2-2X=19.25

We move all terms to the left:

X^2-2X-(19.25)=0

We add all the numbers together, and all the variables

X^2-2X-19.25=0

a = 1; b = -2; c = -19.25;
Δ = b2-4ac
Δ = -22-4·1·(-19.25)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-9}{2*1}=\frac{-7}{2}
=-3+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+9}{2*1}=\frac{11}{2}
=5+1/2
$