Mathematics: A positive integer is twice another the difference of the reciprocal of the to positive integer is 1/8

A positive integer is twice another the difference

Ответ:

nschavez123

21.01.2022

Mathematics

The positive integers are 8 and 4

Step-by-step explanation:

Let the bigger integer be x, and the smaller be y, then

x = 2y

The difference of their reciprocals is 1/8.

$\frac{1}{y} - \frac{1}{x} = \frac{1}{8}$

Multiply through the second equation by 8xy

8x - 8y = xy

Substitute the first equation into this last equation:

$8(2y) - 8y = 2y \times y$

$16y - 8y = {2y}^{2}$

$8y = 2{y}^{2}$

$4y = {y}^{2}$

${y}^{2} - 4y = 0$

y(y - 4) = 0

y = 0

y = 4

But y≠0, since division by zero is not defined.

Therefore y=4 and x=8

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Ответ:

isabellawest2

27.05.2022

Mathematics

9/81

Step-by-step explanation:

I did 3 to the second power then 3 to the fourth power. Then put them on top of each other. If the over is supposed to mean division then the answer would be 9.

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A positive integer is twice another the difference of the reciprocal of the to positive integer is 1/8

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