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DPiD Maths Mock Set 1 Paper 1 · Q1

Paper 1Algebra

Let kk be a real number. The equation ∣x2+3kx∣=2k∣x−3∣|x^2+3kx|=2k|x-3| has nn solutions for a given kk. Find the sum of all values of nn in {0,1,2,3,4,5}\{0,1,2,3,4,5\} that are possible.

A66
B99
C1010
D1212
E1414
F1515

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