NDA2024MathematicsQuadratic EquationActual
If x^2+m x+n is an integer for all integral values of x , then which of the following is/are correct? 1. m must be an integer 2. n must be an integer Select the correct answer using the code given below:
Options
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Correct answer
C. Both 1 and 2
Step-by-step solution
Let n be an integer and n=0 aligned & & x^2+m x & =0 & & x(x+m) & =0 & & x & =0, x=-m aligned Since n is integer, therefore m is also integer.