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What is the interval of a for which the equation ||x-2|+a|=4 can have four distinct solutions for x?

  • Writer: Hemant Pandey
    Hemant Pandey
  • Jun 14, 2018
  • 1 min read

Updated: Jul 4, 2021


There are two solutions or no solutions. If we take ‘a’ as positive then two solutions are for a < 4. Similarly two solutions when ‘a’ < -4.

There are two ways to solve the problem. Refer images for the same.

Long Answer

Short answer

Last line says : Similar results when a < -4.



 
 
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