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tmua.fyi Paper 1 Challenge 2 · Q19

Paper 1Algebra

Find the complete set of values of kk for which the equation x∣x∣−2x+k=0x|x|-2x+k=0 has three distinct real roots.

Ak>0k>0
B0<k<10<k<1
C−1<k<0-1<k<0
D−1<k<1-1<k<1
E0≤k≤10\le k\le1
Fk<1k<1
G−1≤k≤1-1\le k\le1
Hthere is no such kk

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