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how many integer solutions does the equation

2\(t^{2}\) +1 = \(a^{2}\) have?? where t,a are integers

can any one help me in deriving the integer solutions explicitely ...

Let f(x) = ax^2 + bx + c where a; b; c are real numbers. Suppose f(-1),f(0), f(1) belong to [-1,1]. Prove that |f(x)| ·< ...

Figured out the answer myself.hence deleted the discussion

last week in number theory i got 2 wrong questions and this week i answered 1 correct question and didnt attempt any other question yet i got demoted to level ...

Show that the polynomial x^8 -x^7+x^2 -x+15=0 Has no real roots.

Need this for an exam Urgently any kind of help would be appreciated

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