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Clavis TMUA Set A Paper 1 · Q5

Paper 1Algebra

The equation

9x−k3x+27=09^x-k3^x+27=0

has two distinct real solutions for xx, where kk is a real constant.

Find the complete set of values of kk.

Ak<−63k<-6\sqrt3
B−63<k<63-6\sqrt3<k<6\sqrt3
C0<k<630<k<6\sqrt3
Dk<−63k<-6\sqrt3 or k>63k>6\sqrt3
Ek>63k>6\sqrt3
Fk>108k>108

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