4*(1/16)^X-17*(1/4)^X+4=0

Question

4*(1/16)^X-17*(1/4)^X+4=0

Answer 1

(1/4)^x=z   z²=(1/4)^2x=1/4²^x=1/16^x
4z²-17z+4=0   D=289-64=225  √225=15
z1=1/8[17-15]=1/4  (1/4)^x=1/4   x1=1
 z2=1/8[17+15]=4    (1/4)^x=4     x2=-1