Need Help Finding Points of Intersection

In summary, "Need Help Finding Points of Intersection" refers to the process of determining the coordinates where two or more lines or curves intersect on a graph or coordinate plane. It is important to find points of intersection as it can provide valuable information about the relationship between different lines or curves and can aid in solving equations, making predictions, and analyzing data. There are various methods that can be used to find points of intersection, such as graphing, substitution, elimination, and using mathematical formulas or equations. Some common challenges when finding points of intersection include ensuring accuracy and dealing with complex or non-linear equations. Additionally, finding points of intersection has numerous real-life applications in fields such as engineering, physics, economics, and geography.
  • #1
Jon1436
8
0

Homework Statement



y=x-x^3 y=0 Must find intersection points by way of the x-axis

Homework Equations





The Attempt at a Solution


I know you have to set them equal to each other i just do not know what to do from there.
 
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  • #2
[tex]x-x^{3}=0[/tex]
[tex]x(1-x^{2})=0[/tex]
just factor and set each part =0
 
  • #3
Alright and I am also having trouble with finding points of intersection of
y=6-x^2 and y=2 about the y axis
 

What does "Need Help Finding Points of Intersection" mean?

"Need Help Finding Points of Intersection" refers to the process of determining the coordinates where two or more lines or curves intersect on a graph or coordinate plane. This can be useful in various mathematical and scientific applications, such as solving equations or analyzing data.

Why is it important to find points of intersection?

Finding points of intersection can provide valuable information about the relationship between different lines or curves, and can help in solving equations and making predictions. It can also be used to analyze data and identify patterns or trends.

What methods can be used to find points of intersection?

There are several methods that can be used to find points of intersection, including graphing, substitution, elimination, and using mathematical formulas or equations. The most appropriate method will depend on the specific problem and the type of lines or curves involved.

What are the common challenges when finding points of intersection?

One common challenge when finding points of intersection is ensuring accuracy, as even small errors in calculations or graphing can lead to incorrect results. Another challenge may be dealing with complex or non-linear equations, which may require more advanced mathematical techniques.

What are some real-life applications of finding points of intersection?

Finding points of intersection has numerous real-life applications, including in engineering, physics, economics, and geography. For example, it can be used to determine the optimal location for a new road or building, predict the trajectory of a projectile, or analyze the supply and demand of a product. It is also commonly used in navigation and map-making.

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