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3 years ago

What are two consecutive numbers whose cube differs by 271

Mathematics

2 answers:

valentina_108 [34]3 years ago

7 0

Answer:

Two consecutive numbers cubes differ by 271. Let the two consecutive numbers be x and x + 1. The difference of the two consecutive numbers is 271. ( x + 1 ) ^3 - x ^3 = 271. 1 + 3 x ^ 2 + 3 x - 271 = 0.

Step-by-step explanation:

lesya692 [45]3 years ago

4 0

9514 1404 393

Answer:

9, 10 or -10, -9

Step-by-step explanation:

Let x represent the smaller of the two numbers. Then x+1 is the larger, and their difference is ...

(x +1)³ -x³ = 271

x³ +3x² +3x +1 -x³ = 271

3x² +3x -270 = 0 . . . . . . simplify

x² +x -90 = 0 . . . . . . . . divide by 3

(x +10)(x -9) = 0 . . . . . factor

The two solutions are x = -10, x = 9.

The numbers could be {-10, -9} or {9, 10}.

_____

Additional comment

Solutions to a factored polynomial are the values of the variable that make the factors zero. The product will only be zero if a factor is zero.

The factor (x -a) is zero when x=a.

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Sedbober [7]

The question is an illustration of arithmetic sequence.

The number of conversation for 19 people is 171

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9 represents the number of people

8 represents the number of conversation each person had

2 represents the number of people having a conversation at once (i.e 2 people at once)

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We have:

$n = 19$

The number of conversation is:

$Total = \frac{n \times (n -1)}{2}$

So, we have:

$Total = \frac{19 \times (19 -1)}{2}$

$Total = \frac{19 \times 18}{2}$

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Read more about arithmetic sequence at:

brainly.com/question/18109692

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3 years ago

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AfilCa [17]

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nydimaria [60]

Answer:

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Step-by-step explanation:

Given:

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Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

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