20x-(100x^2)=0

Solution for 20x-(100x^2)=0 equation:

20x-(100x^2)=0

determiningTheFunctionDomain
-100x^2+20x=0

a = -100; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·(-100)·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*-100}=\frac{-40}{-200}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*-100}=\frac{0}{-200}
=0
$