86.25=-19x+x^2

Solution for 86.25=-19x+x^2 equation:

86.25=-19x+x^2

We move all terms to the left:

86.25-(-19x+x^2)=0

We get rid of parentheses

-x^2+19x+86.25=0

We add all the numbers together, and all the variables

-1x^2+19x+86.25=0

a = -1; b = 19; c = +86.25;
Δ = b2-4ac
Δ = 192-4·(-1)·86.25
Δ = 706
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{-(19)-\sqrt{706}}{2*-1}=\frac{-19-\sqrt{706}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+\sqrt{706}}{2*-1}=\frac{-19+\sqrt{706}}{-2}
$