Question

how many intersection do the equations x^2+y^2=9 and 3x^2+4y^2=16 have?

Answer 1

use systems of equations..does that help?

Answer 2

Kind of does

Answer 3

wonderful

Answer 4

Yes and i got 3 is that correct

Answer 5

i do no think they even intersects !

Answer 6

So i must have done something wrong but how can you tell

Answer 7

the first equation is that of circle (centered at origin) of radius 3.
the second equation is ellipse (centered at origin) and who major axis (4/sqrt(3)) is less than the radius of the circle (3) .
so it is ellipse inside the circle !!!

Answer 8

which many none intersection

Answer 9

mean

Answer 10

yes

Answer 11

Ok. Thanks

Answer 12

here they are .

Answer 13

oK. i See i guess it will be better to draw it out

Answer 14

yes!

Answer 15

Thanks

Answer 16

@sami-21 you sure about that?

Answer 17

100 % :P

Answer 18

@lgbasallote there another way
solve equation 1 for
x^2
x^2=9-y^2
second equation becomes
3(9-y^2)+4y^2=16
y^2=-16
and you do not get real solutions !!! so there is no intersections a all .