Art of Problem Solving

1973 Canadian MO Problems/Problem 2: Difference between revisions

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==Problem==
==Problem==
Find all real numbers that satisfy the equation <math>|x+3|-|x-1|=x+1</math>. (Note: <math>|a| = a</math> if <math>a\ge 0; |a|=-a if a<0</math>.)
Find all real numbers that satisfy the equation <math>|x+3|-|x-1|=x+1</math>. (Note: <math>|a| = a</math> if <math>a\ge 0; |a|=-a</math> if <math>a<0</math>.)


==Solution==
==Solution==

Revision as of 16:49, 8 October 2014

Problem

Find all real numbers that satisfy the equation $|x+3|-|x-1|=x+1$. (Note: $|a| = a$ if $a\ge 0; |a|=-a$ if $a<0$.)

Solution

See also

1973 Canadian MO (Problems)
Preceded by
Problem 1
1 2 3 4 5 Followed by
Problem 3