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2 years ago

Among all pairs of numbers whose difference is 14 find a pair whose product is as small as possible

SAT

1 answer:

zvonat [6]2 years ago

7 0

The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)

<h3>What are word problems?</h3>

In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.

If we assume that the smaller number should be = a and the larger number = a + 14.

Thus, their product (X) can be expressed as:

= a(a+14)

= a² + 14a

The smallest possible value implies the minimum value, i.e.

$\mathbf{\dfrac{dX}{da} = 2a + 14}$

Thus,

2a + 14 = 0

a = - 14/2

a = -7

Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).

Learn more about word problems here:

brainly.com/question/21405634

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<h3>What are the important terms in solar energy?</h3>

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Read more about solar energy at; brainly.com/question/16171040

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2 years ago

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