Home
Class 11
MATHS
Let a, b in N and a gt 1 . Also p is a ...

Let a, b `in` N and a gt 1 . Also p is a prime number . If `ax^(2) + bx + c = p` for two distinct integral values of x, then prove that `ax^(2) + bx + c ne ` 2p for any integral value of x .

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

If a,b and c are distinct positive real numbers in A.P, then the roots of the equation ax^(2)+2bx+c=0 are

The number of integral values of b, for which the equation x^(2)+bx-16=0 has integral roots, is

If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , then prove that either x >3.

If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , then prove that either x >3.

If sin alpha, cos alpha are the roots of the equation ax^2 + bx + c = 0 (c ne 0) , then prove that (a+c)^2 = b^2 + c^2 .

Let f(X) = ax^(2) + bx + c . Consider the following diagram .

If ax^(2)+ bx +c and bx ^(2) + ax + c have a common factor x +1 then show that c=0 and a =b.