Let `a ,b in na n a > 1.` Also `p` is a prime number. If `a x^2+b x+c=p` for any intergral values of `x ,` then prove that `a+b x+c!=2p` for any integral value of `xdot`

Let a ,b in N and a > 1. Also p is a prime number. If a x^2+b x+c=p for any intergral values of x , then prove that ax^2+b x+c!=2p for any integral value of xdot

Let a ,b in N and a > 1. Also p is a prime number. If a x^2+b x+c=p for any intergral values of x , then prove that ax^2+b x+c!=2p for any integral value of xdot

Let a,b in n ana >1. Also p is a prime number.If ax^(2)+bx+c=p for any intergral values of x, then prove that a+bx+c!=2p for any integral value of x.

Let f (x) =ax ^(2) +bx+c, where a,b,c are integers and a gt 1. If f (x) takes the value p, a prime for two distinct integer values of x, then the number of integer values of x for which f (x) takes the value 2p is :

Let f (x) =ax ^(2) +bx+c, where a,b,c are integers and a gt 1 . If f (x) takes the value p, a prime for two distinct integer values of x, then the number of integer values of x for which f (x) takes the value 2p is :

If (log)_x a ,\ a^(x//2) and (log)_b x are in G.P., then write the value of xdot

If x^2+p x-444p=0 has integral roots where p is prime number, then find the value of p .

If x^2+p x-444p=0 has integral roots where p is prime number, then find the value of p .

If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the value of x(a ,b and c are distinct numbers) .

If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the value of x(a ,b and c are distinct numbers) .