Graphing Solutions to Multi-Parameter Equations

[ritwik06]

How can I plot the graph for this:

a+b=c
and
$$b^{2}-4ac>0$$

 

[HallsofIvy]

What do you mean by a graph for that? I know how to graph functions of one or two variables. I see two equations, but not functions there. If you mean
c= f(a, b)= a+ b, then the graph is a plane containing the points (0, 0, 0), (1, 0, 1), and (0, 1, 1).

The graph of c= b²/4a is a much more complicated surface- it is basically as hyperboloid. The graph of all (a, b, c) such that b²- 4ac> 0 is the graph of all (a, b, c) such that c< b²/4a and consists of the points below the hyperboloid surface.


I doubt that's what you mean but I can't think what else the "graph" of two equations in 3 parameters could mean.

 

[ritwik06]

Actually the question is something of this sort:
If one of the angles of a triangle is 90 degree. The other angles be x and y.
If tan (x/2) and tan (y/2) be the roots of tghe equation:
ax^{2}+bx+c=0
find a relation between.
definitely a+b=c
and discriminant>0
I wantd to plot the graphy of this out of curiosity and i ont understand a word you say

 

[rocomath]

Actually the question is something of this sort:
If one of the angles of a triangle is 90 degree. The other angles be x and y.
If tan (x/2) and tan (y/2) be the roots of tghe equation:
ax^{2}+bx+c=0
find a relation between.
definitely a+b=c
and discriminant>0
I wantd to plot the graphy of this out of curiosity and i ont understand a word you say

The reason you don't understand a single thing Halls said is bc you were too lazy to type up enough information for anybody to help you. If you want help, don't be lazy and use spellcheck.

 

[ritwik06]

The reason you don't understand a single thing Halls said is bc you were too lazy to type up enough information for anybody to help you. If you want help, don't be lazy and use spellcheck.

I am sorry for that. My mother tongue ain't english but i'll try to do it again without the typo:
Actually the question is something of this sort:
If one of the angles of a triangle is 90 degree. The other angles be x and y.
If tan (x/2) and tan (y/2) be the roots of the equation:
$$ax^{2}+bx+c=0$$
find a relation between a,b,c.
definitely a+b=c
and $$b^{2}-4ac>0$$
I wanted to plot the graph of this situation. Help me please~

I know that Halls was taking it to the #3 dimension. And that's what I don't want. I haven't studied complex coordinate geomtry as yet.

 

[Defennder]

You want a graph of what again? What variables are used for the x and y axis? Halls didn't answer your question because you didn't state it properly.

 

[ritwik06]

You want a graph of what again? What variables are used for the x and y axis? Halls didn't answer your question because you didn't state it properly.

No no, actually there are 3 parameters now, which vary and two conditions which they satisfy. I just want to know whether, the solution set of a,b,c can b represented graphically as was in the case such as y=x-3?