# Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 4"

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+ | <math>\frac{x+2}{6}=\frac{6}{x+2} \implies x^2+4x-32</math> Therefore, the product of the root is <math>-32</math> ~ kante314 |

## Revision as of 00:20, 11 July 2021

## Problem

If is its own reciprocal, find the product of all possible values of

## Solution

From the problem, we know that

Thus, or . Our answer is

~Bradygho

Therefore, the product of the root is ~ kante314