× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
5
a
5
k
5
c
5
B
5
l
5
C
4
s
4
a
4
t
4
i
4
r
4
New Topic  
irina irina
wrote...
Posts: 919
11 years ago
You now have had practive solving equations with one variable and equations with two variables. Compare equations with one variable to equations with variables. How are they alike? How are they different?
Read 674 times
1 Reply

Related Topics

Replies
wrote...
11 years ago
Hello!

An one variable equation is a line in a two-dimensional "space". For example 2x-5=3 => x=4 represents a line parallel to x-axis that start from the number 4. In fact it represent a constant number.

Now, if u have a two variable equation like a)y-2x=5 => y=2x+5 it represents the linear equation in two-dimensional space.
b) x^2+y^2=9 is a two variable equation too, but now represents a cirle.
c) x^2-y=0=> y=x^2 represents the quadratic equation in two-dimensional space.
d)y^3-x=5 represents a cubic equation etc....

But if u have a 3 variable equation, like x+y=z=2 or x^2-2y+z=1, it represents a curve in a 3-dimensional space.

To conclude:
A)1-variable= representation of a number (2D)
B)2-variables= curves in two dimensions (2D)
C)3-variables= curves in three dimensions (3D)

In Physics many times, are used 4 variable equations. So u have x,y,z as space variables and t as the time variable. A 4-dimensional equation cannot be drawn, it's a dynamical system that always changing (moving) Unlikely we are beings that living in a 4D Time-space and we cannot deeply understand(imagine) what a higher variable equation represents.
New Topic      
Explore
Post your homework questions and get free online help from our incredible volunteers
  1323 People Browsing
Related Images
  
 345
  
 870
  
 368
Your Opinion
Which industry do you think artificial intelligence (AI) will impact the most?
Votes: 352