2a-a^2=0.1464466094

Solution for 2a-a^2=0.1464466094 equation:

2a-a^2=0.1464466094

We move all terms to the left:

2a-a^2-(0.1464466094)=0

We add all the numbers together, and all the variables

-1a^2+2a-0.1464466094=0

a = -1; b = 2; c = -0.1464466094;
Δ = b2-4ac
Δ = 22-4·(-1)·(-0.1464466094)
Δ = 3.4142135624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-\sqrt{3.4142135624}}{2*-1}=\frac{-2-\sqrt{3.4142135624}}{-2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{3.4142135624}}{2*-1}=\frac{-2+\sqrt{3.4142135624}}{-2}
$