x2-x=16.25

Solution for x2-x=16.25 equation:

x2-x=16.25

We move all terms to the left:

x2-x-(16.25)=0

We add all the numbers together, and all the variables

x^2-1x-16.25=0

a = 1; b = -1; c = -16.25;
Δ = b2-4ac
Δ = -12-4·1·(-16.25)
Δ = 66
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{-(-1)-\sqrt{66}}{2*1}=\frac{1-\sqrt{66}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{66}}{2*1}=\frac{1+\sqrt{66}}{2}
$