## 25 Reputation

6 years, 289 days

## How do I interpret solutions which do no...

Maple 15

Hello Everyone,

First of all I want to thank you to pay attention to my post.

For some reasons I want to know when does the root of my solution is equal to 0 isolating α, which yields the following equation

When I substitute 1/2 it verifies the equation, but when I substitute other solutions my equation is not verified. For instance substituting "α=-1/l" I get something different from 0 as you can see

My question is what are these "solutions" if they are not solutions ?
 I attach the file in case you would take a look at it Download Maple_question2.mw

## How to properly determine roots when the...

Maple 2015

Hello everyone,

First I want to thank you for paying attention to my post.

I'm trying to determine the maximum of the following function:

Maple Code:

(1/4)*(-1/4+alpha*(-1+b)*e^2+((1-b)*alpha+(1/4)*b)*e)^2/((-1+e)^2*(b*e-1)*alpha*e*(-1+b))(1/4)*(-1/4+alpha*(-1+b)*e^2+((1-b)*alpha+(1/4)*b)*e)^2/((-1+e)^2*(b*e-1)*alpha*e*(-1+b))

e is my variable and I want to study it in [0,1[. I have a several parameters restriction like b in [0,1[ and alpha>1.

When I value this function for specific values (b=0.1, alpha=4 for instance) I get the equation and its associated graphic representation:

Maple Code:

-0.6944444445e-1*(-1/4-3.6*e^2+3.625000000*e)^2/((-1+e)^2*(.1*e-1)*e)

I'm only interested in the domain where e is betweeen 0 and 1. I clearly on the graph see that there is a maximum and when 1) I compute roots of the expression I get 2) following solutions:

1)

2)

0.9324708634, 0.07447358108, 0.6965691592, 1.345632810,

-0.07419084270.

Here: 0.6965691592 corresponds to the maximum I'm looking for.

So now when I try to get a generalization of this function according to my parameters and when I compute the first derivative with respect to e

1)

2)

3)...

the last is very big so I do not write it here.

To sum-up: I see that the solution I'm looking for exists but when it comes to use parameters I cannot define correct roots.

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