Solve this: Q The number of solution of the equation [x]+[-x]+x2=1, where [ ] denotes the greatest integer - Maths - Relations and Functions

Question

Solve this:

Q The number of solution of the equation [x]+[-x]+x2=1,
where [ ] denotes the greatest integer function is
(A) Infinitely many
(B) 4
(C) 2
(D) 0

Aarushi Mishra · Accepted Answer

x+-x+x2=1Note:-x=-x=-x , if x is an integer-x=-x-1 , if x is not an integerCase 1: x is an integerx-x+x2=1x2=1x=±1Case 2: x is not an integerx-x-1+x2=1-1+x2=1x2=2x=±2Hence there are 4 solutions

Solve this: Q. The number of solution of the equation [x]+[-x]+x2=1, where [.] denotes the greatest integer function is. (A) Infinitely many (B) 4 (C) 2 (D) 0

Solve this:

Q. The number of solution of the equation [x]+[-x]+x²=1, where [.] denotes the greatest integer function is.
(A) Infinitely many
(B) 4
(C) 2
(D) 0