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Juan Set 1 Paper 1 · Q6

Paper 1Algebra

Let aa and bb be positive real numbers, and consider the equations

x2+ax+b=0,ax2+(b+3)x+a=0.x^2+ax+b=0,\qquad ax^2+(b+3)x+a=0.

Given that the solution set of each of these equations has exactly 1 element, what is the product of the distinct possible values of a+ba+b?

A24
B32
C45
D72
E120

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