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Algebra Level 4

Find x x satisfying 2 x + 3 x = 4 5 { x } 2\lfloor x \rfloor +3x=4-5\{ x \} .

Notations :


The answer is 0.5.

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1 solution

Aaghaz Mahajan
Apr 14, 2018

Taking x as i+n where i is an integer and 0<=n<1.......
Simplification leads to
8n = 4 - 5i
RHS is an integer, so LHS must be too.......hence, n can be 1/8,2/8,3/8,4/8,5/8,6/8,7/8
Checking all these, only 4/8 satisfies.........hence i=0.........
Hence, x = 0.5


Same method...

Vilakshan Gupta - 3 years, 1 month ago

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