The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is the number? A. x = 81 B. x = −13; x = 5 C. x = −9; x = 9 D. x = 5

Given:

The product of a particular number is 65.

Second value is given by the sum of 8 and the original number.

To find:

The unknown number.

Solution:

Let x be the unknown number.

Then, second number = x+8

The product of a particular number is 65.

Splitting the middle term, we get

Using zero product property, we get

and

and

So, the unknown number is either 5 or -13.

Therefore, the correct option is B.

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step-by-step explanation:

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