H(x)=100x2

Solution for H(x)=100x2 equation:

(H)=100H^2

We move all terms to the left:

(H)-(100H^2)=0

determiningTheFunctionDomain
-100H^2+H=0

a = -100; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-100)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$H_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-100}=\frac{-2}{-200}
=1/100
$
$H_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-100}=\frac{0}{-200}
=0
$