(Roots of Quadratic Equations) A, BB, and CC are selected at random and independently from the interval (0,1)(0,1).

[khansaheb]

I don't understand why the domain is like this:

F−4AC(a)={0,a<−4f(a),−4≤a<01,a≥0 F_{-4AC}(a) =\begin{cases}0, & a < -4\\ f(a), & -4 \leq a < 0\\1, & a \geq 0\end{cases} F−4AC(a)=⎩⎪⎪⎨⎪⎪⎧0,f(a),1,a<−4−4≤a<0a≥0

We will find f(a) later with other techniques. I don't understand how they got this domain!

I still don't see how that domain was formed.

I still don't see how that domain was formed.

I suppose now you know

 

[mario99]

Re-read post #2.

Are you referring to professeur Steven? Or you mean post #3?

I suppose now you know

Kinda of.

 

[BigBeachBanana]

Are you referring to professeur Steven? Or you mean post #3?



Kinda of.

Post #3, convolution.

 

[khansaheb]

Re-read post #2.

@I suppose you meant post #3

 

[mario99]

Post #3, convolution.

The convolution is:

[imath]\displaystyle \int_{-\infty}^{\infty} F_{-4AC}(t - x)f_{B^2}(x) \ dx[/imath]

Can you help me to find [imath]\displaystyle F_{-4AC}(t - x)?[/imath]

We could find only its domain!