cynthiaguandulay18 cynthiaguandulay18
  • 25-03-2020
  • Mathematics
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If three times a number is added to twice the reciprocal of the number the answer is 5 . find the number(s)

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BrainlyStudent20
BrainlyStudent20 BrainlyStudent20
  • 25-03-2020

Answer: The number is 1.

Step-by-step explanation:

Here is the equation:

2(1/N) + 3N = 5.

Substitute 1 into the equation.

2(1/1) + 3 * 1 = 5.

2(1) + 3 * 1 = 5.

2 + 3 * 1 = 5.

2 + 3 = 5.

5 = 5.

1 is a solution.

I also found out that any number greater than 1 makes the equation unbalanced, where the left side becomes greater than the right.

And as for negative numbers, they make the left side smaller than the right.

So the only solution is the integer 1.

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