Number of positive integers `x` for which `f(x)=x^3-8x^2+20 x-13` is a prime number is______.

Find the number of positive integers x for which f(X)=x^(3)-8x^(2)+20x-13, is a prime number.

Total number of positive integers x for which f(x)=x^(3)-8x^(2)+20x-13 is a prime number,is 1( b) 2(c)3 (d) 4

Total number of positive integers x for which f(x)=x^(3)-8x^(2)+20x-13 is prime number,is 1 b.2 c.3 d.4

If the positive integral values of x for which f(x)=x^(3)-8x^(2)+20x-13 is a prime are alpha,beta,gamma then

The number of integer values of m for which f(x)=x^(3)-mx^(2)+3x-11 invertible is ....

Find the number of positive integers n less than 1000 for which there exists a positive real number x such that n= x[x] . Note : [x] is the greatest integer less than or equal to x.

Given f(x)={(x^(2)-4|x|+a ,if, x le 2),(6-x, if, x gt 2):} ,then number of positive integral values of a for which f(x) has local minima at x=2 .

The number of pairs of positive integers (x,y) where x and y are prime numbers and x^(2)-2y^(2)=1 , is

Number of positive integers satisfying (7)/((x-2)(x-3))+(9)/((x-3))+1<0