Let a be a non-zero real number and alph...

Let a be a non-zero real number and `alpha, beta` be the roots of the equation `ax^(2) + 5x + 2 = 0`. Then the absolute value of the difference of the roots of the equation `a^(3)(x+5)^(2) - 25 a(x+5) + 50 = 0`, is

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