Anumber added to its reciprocal is 2 9/10. find the number and show your work.

Step-by-step explanation:

Quadratic Equations

The quadratic equation has the following general form

It can be solved by several methods, including the well-known quadratic formula

The question requires us to find a number that added with its reciprocal results 2 9/10. If x is the required number

Operating

Rearranging

Comparing with the general quadratic equation, we have

Using the formula

It gives us two possible solutions

Both are valid solutions since

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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