BITSAT2020MathematicsTrigonometric EquationsActual
The least positive non-integral solution of the equation (x²+x )= x² is
Options
- Arational
- Birrational of the form p
- Cirrational of the form p -1 4 , where p is an odd integer
- Dirrational of the form p +1 4 , where p is an even integer
Correct answer
A. rational
Step-by-step solution
We have, (x²+x )= x² ( x ²+ x )= n +(-1)^ n x ² Either x ²+ x =2 ~m + x ² x =2 ~m I or x ²+ x = k - x ², where k is an odd integer 2 x ²+ x - k =0 x = -1 1+8 k 4 For least positive non-integral solution is x= 1 2 , when k=1