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

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

add the table and i will answer correctly

step-by-step explanation: