Question

tìm x biết :

( x + 1/2 ) + ( x+ 1/4 ) + ( x +1/8 ) + (x + 1/16 ) = 1

Answer 1

( x + 1/2 ) + ( x+ 1/4 ) + ( x +1/8 ) + (x + 1/16 ) = 1

x= 1/64

 

Answer 2

\(\Rightarrow x+\frac{1}{2}+x+\frac{1}{4}+x+\frac{1}{8}+x+\frac{1}{16}=1\)

\(\Rightarrow4\times x+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)

\(\Rightarrow4\times x+\frac{8+4+2+1}{16}=1\)

\(\Rightarrow4\times x+\frac{15}{16}=1\)

\(\Rightarrow4\times x=1-\frac{15}{16}=\frac{1}{16}\)

\(\Rightarrow x=\frac{1}{16}:4=\frac{1}{16}\times\frac{1}{4}\)

\(\Rightarrow x=\frac{1}{64}\).