What is the smallest possible natural nu...

What is the smallest possible natural number 'n' for which the equation `x^(2)-nx + 2014=0` has integer roots.

Verified by Experts

The correct Answer is:

91

Similar Questions

Explore conceptually related problems

Number of possible value(s) of integer 'a' for which the quadratic equation x^(2) + ax + 16 = 0 has integral roots, is

What is the smallest integral value oof k for which the roots 3x^(2)+8x-k=0 are real?

Is there any real value of ' a ' for which the equation x^2+2x+(a^2+1)=0 has real roots?

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n)?

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n) ?

The possible values of n for which the equation nx^(2)+(2n-1) x +(n-1)=0 has roots of opposite sign is/are by

The maximum number of real roots of the equation x^(2n) -1 = 0 , is

The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is