12x-12.8=x^2

Solution for 12x-12.8=x^2 equation:

12x-12.8=x^2

We move all terms to the left:

12x-12.8-(x^2)=0

determiningTheFunctionDomain
-x^2+12x-12.8=0

We add all the numbers together, and all the variables

-1x^2+12x-12.8=0

a = -1; b = 12; c = -12.8;
Δ = b2-4ac
Δ = 122-4·(-1)·(-12.8)
Δ = 92.8
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{-(12)-\sqrt{92.8}}{2*-1}=\frac{-12-\sqrt{92.8}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+\sqrt{92.8}}{2*-1}=\frac{-12+\sqrt{92.8}}{-2}
$