# Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 7, 2011"

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==Solution== | ==Solution== | ||

− | {{ | + | <math>\sqrt{x+2}=x-18 \implies</math> |

+ | <math>x+2=(x-18)^2=x^2-36x+324 \implies</math> | ||

+ | <math>x^2-37x+322=0 \implies</math> | ||

+ | <math>(x-23)(x-14)=0</math>. | ||

+ | |||

+ | Clearly <math>x=14</math> is extraneous, so our answer is <math>x=\boxed{23}</math>. |

## Latest revision as of 14:58, 6 June 2011

## Problem

AoPSWiki:Problem of the Day/June 7, 2011

## Solution

.

Clearly is extraneous, so our answer is .