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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If 2x^2 + 5x + 7 = 0 and ax^2 + bx + c = 0 have at least one root common such that a, b, c 1, 2, ..., 100 , then the difference between the maximum and minimum values of a + b + c is :

Options

A196
B284
C182
D126.

Correct answer

C. 182

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