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Cryptokyo TMUA Problem Set · Q9

Algebra

For which values of aa does the equation

32x−a×3x+1+a2=03^{2x}-a\times3^{x+1}+a^2=0

have two distinct real solutions?

I. a<0a<0

II. a>0a>0

III. No such values of aa

IV. a=0a=0

AI only
BII only
CIII only
DIV only
EI and IV only
FII and IV only

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