X(1-x)=0.2025

Solution for X(1-x)=0.2025 equation:

X(1-X)=0.2025

We move all terms to the left:

X(1-X)-(0.2025)=0

We add all the numbers together, and all the variables

X(-1X+1)-(0.2025)=0

We add all the numbers together, and all the variables

X(-1X+1)-0.2025=0

We multiply parentheses

-1X^2+X-0.2025=0

a = -1; b = 1; c = -0.2025;
Δ = b2-4ac
Δ = 12-4·(-1)·(-0.2025)
Δ = 0.19
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{0.19}}{2*-1}=\frac{-1-\sqrt{0.19}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{0.19}}{2*-1}=\frac{-1+\sqrt{0.19}}{-2}
$