Solution:
Product of roots is an integer.Product of roots=
We have, nx2+
+ n=0Product of roots =
So condition 3 is correct.So, the given statement is true.
Hence, Option (1) is the correct answer.
MathematicsChoose whether the given statement is true or false.Consider the quadratic equation nx2++ n=0 where n is a positive integer. Then the product of roots is necessarily an integer
Choose whether the given statement is true or false.
Consider the quadratic equation nx2++ n=0 where n is a positive integer. Then the product of roots is necessarily an integer
Product of roots=
We have, nx2++ n=0Product of roots =
So condition 3 is correct.So, the given statement is true.
Hence, Option (1) is the correct answer.
