Most Important Selected Qs for JEE AdvancedMathematicsBasics of Mathematics
The value(s) of x satisfying 1- ₉(x+1)^2= 1 2 _ 3 ( x+5 x+3 ) is/are
Options
- A1
- B-2
- C-7
- D-4
Correct answer
C. -7
Step-by-step solution
aligned & 1- _ 3^2 (x+1)^2= 1 2 _ 3^ 1 / 2 ( x+5 x+3 ) & 1- 2 2 ₃|x+1|= 2 2 ₃ ( x+5 x+3 ) & ₃ ( 3 |x+1| )= ₃ ( x+5 x+3 ) & 3 |x+1| = x+5 x+3 & Case- I x+1 0 x -1 & 3(x+3)=(x+1)(x+5) & x^2+3 x-4=0 & x=-4 or x=1 & x=-4 rejected ( x -1) & x =1 & Case - II x +1 0 x -1 & 3(x+3)=-(x+1)(x+5) & x ^2+9 x +14=0 & x=-2 or x=-7 & Set of value of x= -7,-2,1 aligned