Equation for y to obtain an equation that represents circle

  • Thread starter Thread starter Niaboc67
  • Start date Start date
  • Tags Tags
    Circle
AI Thread Summary
The equation 2x^2 + 2y^2 = 7 represents a circle, and to express y in terms of x, it needs to be rearranged. The correct approach involves solving for y, which will yield two solutions due to the circle's symmetry, indicated by the ± symbol. The discussion emphasizes the importance of considering the graph's lower portion when selecting between the positive and negative solutions for y. Understanding the relationship between x and y is crucial for accurately representing the circle's equation. Proper algebraic manipulation will lead to the desired equation for y.
Niaboc67
Messages
249
Reaction score
3

Homework Statement


The equation that is first listed is: 2x^2 + 2y^2 = 7

Homework Equations


aejWMc6.png
[/B]

The Attempt at a Solution



It's redefing the bottom portion therefore I think it's y=0,-2 because that is the range?
 
Physics news on Phys.org
Niaboc67 said:

The Attempt at a Solution



It's redefing the bottom portion therefore I think it's y=0,-2 because that is the range?
I do not get how you think that is a solution. The solution is an equation in the form of y = f(x) such that it is represented by the graph shown (the lower portion of the circle. This is trivial.
 
Is there something known about x that you forgot to tell us ?
 
If you use some algebra to solve the circle equation for y, you should have a ##\pm## symbol in front of the x part. You want to either choose + or - based on what the plot shows.
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

Circle equation coefficient conditions
Replies
3
Views
2K
Can this system of inequalities be solved for x?
Replies
5
Views
1K
Intersection of a circle and a sine curve
Replies
26
Views
695
Calculate the Length of a Circle's Radius
2
Replies
62
Views
9K
Intersection of a circle and a parabola
Replies
5
Views
4K
Points on a plane satisfying an equation
Replies
2
Views
1K
Equation of a circle from given conditions
Replies
11
Views
2K
Find the center of a circle given a tangent line & point
Replies
2
Views
3K
Equation of Circle Passing Through Given Point and Line with Given Radius
Replies
6
Views
2K
Understanding the Trajectory Equation: X^2+Y^2=5
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top