Problem solving involving rational equation
1. the reciprocal of 5 plus the reciprocal of 7 is the reciprocal of what number?

2. the reciprocal of the product of two consecutive intergers is 1/72

1. The reciprocal of 5 plus the reciprocal of 7 is the reciprocal of what number?

The reciprocal of 5 plus the reciprocal of 7 is the reciprocal of

1. The reciprocal of 5 plus the reciprocal of 7 is the reciprocal of what number?

From given question,

Given that,

reciprocal of 5 + reciprocal of 7 = ?

On cross-multiplying we get,

Thus reciprocal is

So the reciprocal of 5 plus the reciprocal of 7 is the reciprocal of

2. The reciprocal of the product of two consecutive integers is 1/72

The value of two consecutive numbers are 8 and 9

Let the two consecutive integers be x and x + 1

Given that reciprocal of product of two consecutive integers is

product of two consecutive integers = x(x + 1) =

reciprocal of the product of two consecutive integers =

Solve the above quadratic equation by grouping method

Thus x = -9 or 8

Ignoring negative value,

x = 8

Thus two consecutive integers are x = 8 and x + 1 = 8 + 1 = 9

8 and 9 are two consecutive integers

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step-by-step explanation:

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step-by-step explanation:

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