Q 81 The solution of the equation 3[x]+x2=6, x 0 ([ ] denotes the greatest integer function) - Maths - Relations and Functions

Question

Q 81 The solution of the equation 3 [ x ] + x 2 = 6 ,   x >
0 ([ ] denotes the greatest integer function)

[ 3 , 2)
[1, 2)
[1, 3 ]
( 3 , 3)

Neha Sethi · Accepted Answer

Dear student

We have, 3[x]+[x2]=6[x2]+3x-6=0x=-b±b2-4ac2ax=-3±9-41-62x=-3±9+242x=-3±332Please recheck your question,because options are matching with the question
Regards

Q.81. The solution of the equation 3 [ x ] + x 2 = 6 , x > 0 ([ . ] denotes the greatest integer function) [ 3 , 2) [1, 2) [1, 3 ] ( 3 , 3)

Q.81. The solution of the equation $3 [x] + [x^{2}] = 6, (x > 0)$ ([ . ] denotes the greatest integer function)

[ $\sqrt{3}$ , 2)

[1, 2)

[1, $\sqrt{3}$ ]

( $\sqrt{3}$ , 3)