Question

How many solutions are there for the system shown below?

Answer 1

x^2 = 100 -4y^2

4y - x^2 = -20
4y - (100-4y^2) = -20
4y - 100 +4y^2 = -20
4y^2 +4y -80 = 0
y^2 +y -20 = 0
(y+5)(y-4) = 0

y= -5 or y= 4

2 solutions!

Answer 2

your great at this :) thank you so much!!

Answer 3

do you know this? What is the maximum number of intersection points a hyperbola and a circle could have?

Answer 4

not 2 solutions! when y=-5 x=0, but when y=4, x=6 or x=-6. so there are three solutions.

Answer 5

oh i see, so there are definitely 3?

Answer 6

yes sure.

Answer 7

thanks so much marsss :)

Answer 8

and the other question: maximum number of intersection points are 4!!

Answer 9

welcome bro :)

Answer 10

thought it was 4 :) thanks so much, can you help me with another one.. i'll repost it now :)

Answer 11

Oh right, sorry I missed that