Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? A: x^2 + 8x - 308 = 0 B: x^2 - 8x + 308 = 0 C: x^2 + 8x + 308 = 0 D: x^2 - 8x - 308 = 0

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Mathematics

12 February, 15:08

Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? A: x^2 + 8x - 308 = 0 B: x^2 - 8x + 308 = 0 C: x^2 + 8x + 308 = 0 D: x^2 - 8x - 308 = 0

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Answers (1)

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Aryan · Answer 1

A

Step-by-step explanation:

The smaller negative integer is x.

The larger one is x+8, since they are 8 units apart.

The equation would be:

x * (x+8) = 308

Let's simplify it by distributing.

x^2+8x=308

Subtract 308 from both sides.

x^2+8x-308=0

Therefore, the answer would be A.