If `x^2+p x-444p=0` has integral roots where `p` is prime number, then find the value `(s)ofpdot`

If 37 -= 18 (mod p), where p is a prime number then find p.

If P : Every natural number is whole number, q : Equation x^(2)-3x+2=0 has two real roots, r :36 is a prime number, which of them has truth-value F?

If |x^(2)+6x+p|=x^(2)+6x+p AA x in R: where P is a prime number,then the least possible value of p is

If sum of all the solutions of the equation (4tan x+tan^(2)x+1)=2sqrt(2)sin(x+(pi)/(4))(1+tan^(2)x) in [0,pi] is (p, (pi)/(q)) where p,q are relatively prime number, then find the value of (p+q)

f(x)=min{x-[x] ,1+[x] -x} x lies in [0,3] , p is the number of points where it is discontinous q is the numbers of points where it is not differentiable . then find the value of p+q

If equation 6(log_(x)2-log_(4)x)+7=0 has roots x_(1) and x_(2) then log_(2)x_(1)x_(2) is equal to (p)/(q) , where p and q are co-prime numbers, then the value of p+q is equal to

If (p^(2) + 2)x^(2) + 2p^(2)x + (p^(2) - 4) = 0 has roots of opposite sign, then find the range of p.

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .

Two numbers p and q are such that the equation px^(2)+3x+2q=0 has -6 as the sum of roots and 2 as the product of roots, then find the values of p and q.