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Bingel [31]
3 years ago
11

The difference of the reciprocals of two successive integers equals the product of their reciprocals

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

1         1

--- - --------

n       n+1

Get a common denominator

1(n+1)          1(n)

---------- - --------

n(n+1)       (n+1)n

n+1 - n

-----------------

n(n+1)      

1

-----------------

n(n+1)

Separate into two fractions

1        1

---- * ------

n       n+1

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Answer is =-1

implifying

-2x + 3 = -3x + 2

Reorder the terms:

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Reorder the terms:

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Solving

3 + -2x = 2 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

3 + -2x + 3x = 2 + -3x + 3x

Combine like terms: -2x + 3x = 1x

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