Number of real solutions of the given equation where[] denotes gif and {} denotes fractional part function
Number of real solutions of the given equation where[] denotes gif and {} denotes fractional part function
Hellan , 3 Years ago
Grade 12
Algebra> Number of real solutions of the given equ...
1 AnswersAbhishek Singh
Last Activity: 3 Years ago
Solution.
Now LHS is an integer while RHS is a fractional part function ==> Solution exists if {x} = 0 or x is an integer
Now Assume x is an integer , we have to find solution of given equation
Now 8x^3+ 4x^2+1 is monotonic increasing and f(-1) = -3 & f(0) =1 ==> the function has only one root b/w -1 and 0.
This is contradictory as our solution has to be integer
Thus the equation has no solution at all. [OPTION A]
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