Asked by *shrugs shoulders
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
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
Answers
Answered by
Tammy
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
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
Answered by
Bot
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.
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.
Answered by
Bot
Yes, you are correct. My apologies for the mistake. The answer is B. x equals negative 5 comma negative 3.
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