Question

[Tô Minh Ngọc]

( x + 1/2 ) + ( x + 1/4 ) + ( x + 1/8 ) + ( x + 1/16 ) = 31/16

Trình bày

Answer 1

[HT.Phong (9A5)]

\(\left(x+\dfrac{1}{2}\right)+\left(x+\dfrac{1}{4}\right)+\left(x+\dfrac{1}{8}\right)+\left(x+\dfrac{1}{16}\right)=\dfrac{31}{16}\\ x+\dfrac{1}{2}+x+\dfrac{1}{4}+x+\dfrac{1}{8}+x+\dfrac{1}{16}=\dfrac{31}{16}\\ \left(x+x+x+x\right)+\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}\right)=\dfrac{31}{16}\\ x\times\left(1+1+1+1\right)+\left(\dfrac{8}{16}+\dfrac{4}{16}+\dfrac{2}{16}+\dfrac{1}{16}\right)=\dfrac{31}{16}\\ x\times4+\dfrac{15}{16}=\dfrac{31}{16}\\ x\times4=\dfrac{31}{16}-\dfrac{15}{16}\\ x\times4=\dfrac{16}{16}\\ x\times4=1\\ x=1:4\\ x=\dfrac{1}{4}\)

Answer 2

[Tô Minh Ngọc]

Ai nhanh nhất mình đúng cho