x-(x^2)=0.003

Solution for x-(x^2)=0.003 equation:

x-(x^2)=0.003

We move all terms to the left:

x-(x^2)-(0.003)=0

determiningTheFunctionDomain
-x^2+x-(0.003)=0

We add all the numbers together, and all the variables

-1x^2+x-0.003=0

a = -1; b = 1; c = -0.003;
Δ = b2-4ac
Δ = 12-4·(-1)·(-0.003)
Δ = 0.988
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{0.988}}{2*-1}=\frac{-1-\sqrt{0.988}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{0.988}}{2*-1}=\frac{-1+\sqrt{0.988}}{-2}
$