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

Given:

The conic equation is:

To find:

The value of C such that the given conic equation make a parabola.

Solution:

The general for of conic equation is:

This equation represents a parabola is either A=0 or C=0 but not both equal to zero.

The given equation is:

Here, coefficient of is A=2 and coefficient of [tec]y^2[/tex] is C.

Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.

Therefore, the only value of C is 0.

the answer is 48m^2!

step-by-step explanation: