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Greeley [361]
3 years ago
11

Find the sum of the reciprocals of two consecutive even integers if the larger integer is x. please answer;-;​

Mathematics
1 answer:
Harman [31]3 years ago
4 0

Step-by-step explanation:

Let the larger integer be x

Hence, the smaller integer = x-2

Hence,

Reciprocal of the x= 1/x

Reciprocal of x-2= 1/ x-2

Hence. their sum=

\frac{1}{x}  +  \frac{1}{x  - 2}  \\  =  \frac{x - 2 + x}{x(x - 2)} \\  =  \frac{2x - 2}{ {x}^{2}  - 2x}

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