Question

What is the maximum number of possible solutions for the system shown below?

x^2-4y^2=64
x^2+y^2=36

A. 2
B. 3
C. 1
D. 4

Answer 1

Ellipse + hyperbola max 4

Answer 2

well
\[y = \pm \sqrt{28/3}\]
\[x = \pm \sqrt{304/3}\]
how many is that?

Answer 3

four

Answer 4

yep :)

Answer 5

but they have to be pairs to be called solution so 2

Answer 6

(x,y)
(-x,y)
(x,-y)
(-x,-y)

All solutions because the variable is being squared in the equations

Answer 7

i don't remenber it now but last year when we coped with these systems only quite a few had 4 solutions....

Answer 8

or look at estudiar answer
if you draw an ellipse and a hyperbola, that can cross at 4 points