Solve this: Question No 10 The number of solutions of the equation x+-x+x2=1, where [ ] denotes the greatest - Maths - Relations and Functions

Question

Solve this:
Question No 10
The number of solutions of the equation x + - x + x 2 = 1 , where [
] denotes the greatest integer function is
A Infinitely many
B 4
C 2
D 0

Aarushi Mishra · Accepted Answer

-x=-x-1, if x is not integer-x=-x, if x is an integerCase 1: x is not a integerx+-x+x2=1x-x-1+x2=1-1+x2=1x2=2x=±2Case 2: x is an integerx+-x+x2=1x-x+x2=1x2=1x=±1Total 4 solutions

Solve this: Question No. 10 The number of solutions of the equation x + - x + x 2 = 1 , where [.] denotes the greatest integer function is A. Infinitely many B. 4 C. 2 D. 0

Solve this:
Question No. 10
The number of solutions of the equation $[x] + [- x] + x^{2} = 1$ , where [.] denotes the greatest integer function is
A. Infinitely many
B. 4
C. 2
D. 0