Question

Solve.

start fraction 8 over x end fraction plus start fraction 15 over x squared end fraction equals negative 1
A. x equals 5 comma negative 3
B. x equals negative 5 comma negative 3
C. x equals negative 5 comma 3
D. x = 5, 3

Answer 1

I read that weird typing as:

8/x + 15/x^2 = -1

multiply each term by x^2,

8x + 15 = -x^2
x^2 + 8x + 15 = 0
(x+3)(x+5) = 0
x = -3 or x = -5

so the correct choice is B, not A, as the bot said

Answer 2

Multiplying both sides by the common denominator of x squared gives:

8x + 15 = -x^2

Bringing all terms to one side and setting equal to zero:

x^2 + 8x + 15 = 0

This factors as:

(x + 3)(x + 5) = 0

Therefore, x = -3 or x = -5.

Neither of these values make the denominator zero, so they are both valid solutions.

The answer is A. x equals 5, -3.

Answer 3

Yes, you are correct. My apologies for the mistake. The answer is B. x equals negative 5 comma negative 3.