Friendly Quadritics

Algebra Level 3

Quadratic (A) is a friend of quadratic (B) if both the roots of (A) lie between the roots of (B).

Then find the number of integral values of \(a\) for which \(x^{2}-100x+a^{2}=0\) is a friend of \(x^{2}-100x+2a^{2}-14a+33=0\).

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