Question

解方程2^(2x+1)-10×2^(x-1)+2=0

Answer 1

令a=2^x

2^(2x+1)=2a²

2^(x-1)=a/2

所以2a²-5a+2=0

a=1/2,a=2

2^x=1/2=2^(-1)

x=-1

2^x=2,x=1

x=-1,x=1