Question

[Phạm Công Thành]

Tìm x biết: 1/3*1/x+(1/x+1)*2/5=9/5

Ai làm được báo với mình nhé!

Answer 1

[Ahwi]

\(\frac{1}{3}\cdot\frac{1}{x}+\left(\frac{1}{x}+1\right)\cdot\frac{2}{5}=\frac{9}{5}\)

ĐKXĐ  \(x\ne0\)

\(\frac{1.1}{3x}+\left(\frac{1}{x}+\frac{x}{x}\right)\cdot\frac{2}{5}=\frac{9}{5}\)

\(\frac{1}{3x}+\frac{1+x}{x}\cdot\frac{2}{5}=\frac{9}{5}\)

\(\frac{1}{3x}+\frac{2\left(1+x\right)}{5x}=\frac{9}{5}\)

\(\frac{1}{3x}+\frac{2x+2}{5x}=\frac{9}{5}\)

\(\frac{5}{15x}+\frac{3\left(2x+2\right)}{5x}=\frac{9}{5}\)

\(\frac{5}{15x}+\frac{6x+6}{15x}=\frac{9}{5}\)

\(\frac{5+6x+6}{15x}=\frac{3x.9}{15x}\)

\(\frac{11+6x}{15x}=\frac{27x}{15x}\)

\(\Rightarrow11+6x=27x\)

\(\Rightarrow11=27x-6x\)

\(\Rightarrow11=21x\)

\(\Rightarrow x=\frac{11}{21}\)

Vậy \(S=\left\{\frac{11}{21}\right\}\)

P/s hình như mik lm dạng này r ?!?