Question

solve this

Answer 1

\[{x^2 \over a^2}+{y^2 \over b^2}=1\]

^^^ that's the equation of an ellipse ... with a and b being either the semi-minor axis or semi major axis .... correct?

Answer 2

yeh

Answer 3

@PaxPolaris

Answer 4

so their product is 12
\[a \times b=12 \\ \implies a= \frac {12}b\]

Answer 5

hm

Answer 6

their sum is equal to their product minus five:
\[a+b=12-5\\ \implies a+b=7\\ \implies \color{green}{ {12 \over b}+b=7}\]

Answer 7

multiply everything by b..... and solve the quadratic equation you get

Answer 8

why 12/b +b?

Answer 9

i didnt get it yet

Answer 10

from before \(a= 12/b\) ... so i replaced a with 12/b

Answer 11

ok then?

Answer 12

b=4 b=3

Answer 13

right

Answer 14

so how to put in ellipse eq?