Question

求化简过程

Answer 1

2*（2x）^2-9*2^x+4=0
8x^2-9*2^x+4=0
2^x应该是x^2吧
-x^2+4=0
x^2=4
x=2或x=-2

追问

是这个

追答

2*（2^x）^2-9*2^x+4=0
令2^x=t,则t>0
2t^2-9t+4=0
(2t-1)(t-4)=0
2t=1或t=4
t=1/2或t=4
2^x=1/2,x=-1
2^x=4,x=2

x=-1或x=2