The average of a non-z

Question

The average of a non-zero number and its square is 5 times the number. The number is

Options:

A . 9

B . 17

C . 29

D . 295

Answer: Option A

Let the number be `x`. then

`(x + x^2)/(2)` = `5x` `hArr` `x^2 - 9x` = 0 `hArr` `x (x - 9)` = 0 `hArr` `x` = 0 or `x` = 9.

So the number is 9.

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