SOLUTION: i do not understand how to put an equation into a graphing calculator. The problem i am working on asks how you would put this in to graph an ellipse 9x^2+25y^2=225 but i dont

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: i do not understand how to put an equation into a graphing calculator. The problem i am working on asks how you would put this in to graph an ellipse 9x^2+25y^2=225 but i dont       Log On


   

Question 254907: i do not understand how to put an equation into a graphing calculator. The problem i am working on asks how you would put this in to graph an ellipse
9x^2+25y^2=225
but i dont know what how to do it on a calculator
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph, you need to solve for y


9x%5E2%2B25y%5E2=225 Start with the given equation.


25y%5E2=225-9x%5E2 Subtract 9x%5E2 from both sides.


y%5E2=%28225-9x%5E2%29%2F25 Divide both sides by 25.


y=%22%22%2B-sqrt%28%28225-9x%5E2%29%2F25%29 Take the square root of both sides (don't forget about the plus/minus)


y=sqrt%28%28225-9x%5E2%29%2F25%29 or y=-sqrt%28%28225-9x%5E2%29%2F25%29 Break up the plus/minus to form two separate equations.



So the two equations that you would enter into your calculator would be y=sqrt%28%28225-9x%5E2%29%2F25%29 and y=-sqrt%28%28225-9x%5E2%29%2F25%29


If you enter them in, you should get the graph:



Take note that the red graph is y=sqrt%28%28225-9x%5E2%29%2F25%29 and the green graph is y=-sqrt%28%28225-9x%5E2%29%2F25%29 which both form the graph of 9x%5E2%2B25y%5E2=225