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Anastasy [175]
2 years ago
7

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 th

e number? A. x = 81 B. x = −13; x = 5 C. x = −9; x = 9 D. x = 5
Mathematics
1 answer:
Marina86 [1]2 years ago
8 0

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.

x\times (x+8)=65

x^2+8x=65

x^2+8x-65=0

Splitting the middle term, we get

x^2+13x-5x-65=0

x(x+13)-5(x+13)=0

(x-5)(x+13)=0

Using zero product property, we get

x-5=0 and x+13=0

x=5 and x=-13

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

Therefore, the correct option is B.

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