Identify the type of conic section that has the equation 4x^2+25y^2=100

Divide both sides by 100, and you should get the equation x^2/25 + y^2/4 = 1.
This equation is an ellipse.
Its domain is -5 < x < 5
Its range is -2 < y < 2

I hope this helps, and good luck!

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-03-31T14:28:27+02:00

The type of conic section which is represented is the provided equation form is ellipse.

How to identify conic section from an equation?

To of identify the type of conic section from an equation whether it is circle, or ellipse a let suppose the equation as,

[tex]Ax^2+By^2+Cx+Dy+E=0[/tex]

In this equation, if,

A=B

Then it is the equation of circle. If In this equation,

[tex]A\neq B[/tex]

But both A and B has same sign (either positive or negative) then it is the equation of ellipse.

If In this equation, Either [tex]A=0[/tex] or [tex]B=0[/tex] , but not both. Then it is the equation of parabola. If In this equation,

[tex]AB < 0[/tex]

Then it is the equation of hyperbola.

Identify the type of conic section that has the equation

[tex]4x^2+25y^2=100[/tex]

Compare this equation, with the above equation we get,

[tex]A=4\\B=25[/tex]

Here nigher A or B is equal to zero and the sign of both are similar (positive).

Hence, the type of conic section which is represented is the provided equation form is ellipse.

Learn more about the conic section here;

https://brainly.com/question/8320698