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Official 2021 Paper 2 · Q16

Paper 2Algebra

pp and qq are real numbers, and the equation

x∣x∣=px+qx|x|=px+q

has exactly kk distinct real solutions for xx.

Which one of the following is the complete list of possible values for kk?

A0,1,20,1,2
B0,1,2,30,1,2,3
C0,1,2,3,40,1,2,3,4
D0,2,40,2,4
E1,2,31,2,3
F1,2,3,41,2,3,4

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