Consider the equation x+y-[x][y]=0, where [*] is the greatest integer function. The number of integral solutions to the equation is by Maths experts to help you in doubts & scoring excellent marks in Class 12 e
Solve :4{x}=x+[x](where[⋅]denotes the greatest integer function and{⋅}denotes the fractional part function. View Solution The functionf(x)=[x]+√{x}, where [.] denotes the greatest Integer function and {.} denotes the fractional part function respectively, is discontinuous at ...
Among these are Fermat's conjecture (Lagrange's theorem) that every integer is the sum of four squares, and the following: "Given any positive rationals a, b with a>b, there exist positive rationals c, d such that a3-b3 = c3+d3." (This latter "lemma" was investigated by Vieta ...
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He may have been first to note that the square root of any integer, if not itself an integer, must be irrational. (The case √2 is attributed to a student of Pythagoras.) TopPlato of Athens (428-347 BC) Greece -- [ #151 (tied) ]...
He may have been first to note that the square root of any integer, if not itself an integer, must be irrational. (The case √2 is attributed to a student of Pythagoras.) TopPlato of Athens (428-347 BC) Greece -- [ #151 (tied) ]...
He may have been first to note that the square root of any integer, if not itself an integer, must be irrational. (The case √2 is attributed to a student of Pythagoras.) TopPlato of Athens (428-347 BC) Greece -- [ #151 (tied) ]...
Consider the equation x+y-[x][y]=0, where [*] is the greatest integer function. Equation of one of the lines on which the non-integral solution of given equ