What is the interval of a for which the equation ||x-2|+a|=4 can have four distinct solutions for x?
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.
Last line says : Similar results when a < -4.
What is the remainder when the digit 111,111 up to 124 terms is divided by 271?
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