Question

Help with Classifying Conics by Using the Discriminant

Answer 1

Identify the value for C in the following equation that would make the conic section a hyperbola: 2x2 + Cy2 + 3x + 5y + 1 = 0

Answer 2

0^2 -4(2)(c)>0
-8c>0

Answer 3

@perl This looks strange, Did I do something wrong?

Answer 4

we have to solve this equation:
\[0 - 4 \times 2 \times C > 0\]

Answer 5

Yes, but I am confused. -4x8=-8*c>0
you divide -8 by both sides and you get c>0/-8
and that doesn't match with what the multiple choice I have does s:

Answer 6

hey

Answer 7

we get:
C<0
so all negative values for C gives an hyperbola

Answer 8

give*

Answer 9

just a side note, there was no "xy" term in the given equation
that means no rotation
so it will be a hyperbola if the coefficeints of quadratic terms have opposite signs

Answer 10

C = 1

C = 2

C = 3/5

C = 5

C = -1

Should i just take a gander with the questions?

Answer 11

it is very simple, you have to pick the last option