Solving problems involving different conic sections

Question

. If 𝑚 ≠ −3, 2, find the value(s) of 𝑚 so that the graph of (2𝑚 − 4)𝑥^2 + (𝑚 + 3)𝑦^2 = (𝑚 + 3)(2𝑚 − 4)

| Answer

a) circle

b) horizontal ellipse

c) a vertical ellipse

d) a hyperbola (is it

horizontal or vertical?), or

e) the empty set

Answer 1

Divide both sides by (𝑚 + 3)(2𝑚 − 4).

The result is in what form?