What is the greatest real number $$\(x\)$$ for which $$\(\sqrt{x}+[x]-x=2\)$$ where $$\([x]\)$$ is the greatest integer $$\(\leq x\)$$ ?

A.
\(x=4\)
B.
\(6> x> 4\)
C.
\(8> x> 6\)
D.
none of above
Mathematics
Competition
Math League
Exam No:2020 First Round Grades 10-12 Year:2020 Question No:24

Answer:

C

Knowledge points:

G10-12 - Algebra - Floor & Ceiling Functions

Solution:

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