x+1/3= 2/5-(-1/3)

x+1/3= 2/5+1/3

x      = 2/5

x+1/3=2/5-(-1/3)

x+1/3=11/15

x=11/15-1/3

x=2/5

Vậy x=2/5

\(a=\) \(\frac{1}{2}\)

\(b=-1\)

bạn trả lơi chi tiết được không bạn :3

Xét \(\Delta ABD\)và \(\Delta HBD\)có:

       \(\widehat{BAD}=\widehat{BHD}=90^o\left(gt\right)\)

        BD là cạnh chung

        \(\widehat{ABD}=\widehat{HBD}\)(BD là tia phân giác của \(\widehat{ABC}\))

\(\Rightarrow\Delta ABD=\Delta HBD\left(CH-GN\right)\)

1) \(\left(\frac{2}{3}x-1\right)\left(\frac{3}{4}x+\frac{1}{2}\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}\frac{2}{3}x-1=0\\\frac{3}{4}x+\frac{1}{2}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}\frac{2}{3}x=1\\\frac{3}{4}x=-\frac{1}{2}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=-\frac{2}{3}\end{cases}}\)

\(\left(2.x+\frac{1}{3}\right)^2=\frac{16}{25}\)

\(\Leftrightarrow2.x+\frac{1}{3}=\pm\sqrt{\frac{16}{25}}\)

\(\Leftrightarrow2.x+\frac{1}{3}=\pm\frac{4}{5}\)

\(\Leftrightarrow\orbr{\begin{cases}2.x+\frac{1}{3}=\frac{4}{5}\\2.x+\frac{1}{3}=-\frac{4}{5}\end{cases}}\Leftrightarrow\orbr{\begin{cases}2.x=\frac{7}{15}\\2.x=-\frac{17}{15}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{7}{30}\\x=-\frac{17}{30}\end{cases}}\)

\(\left(2.x+\frac{1}{3}\right)^2=\frac{16}{25}\)

\(\left(2.x+\frac{1}{3}\right)^2=\left(\frac{4}{5}\right)^2\)

\(\Rightarrow\orbr{\begin{cases}2.x+\frac{1}{3}=\frac{4}{5}\\2.x+\frac{1}{3}=\frac{-4}{5}\end{cases}\Rightarrow\orbr{\begin{cases}2.x=\frac{4}{5}-\frac{1}{3}\\2.x=\frac{-4}{5}-\frac{1}{3}\end{cases}\Rightarrow}\orbr{\begin{cases}2.x=\frac{12}{15}-\frac{5}{15}\\2.x=\frac{-12}{15}-\frac{5}{15}\end{cases}\Rightarrow}\orbr{\begin{cases}2.x=\frac{7}{15}\\2.x=\frac{-17}{15}\end{cases}}}\)\(\Rightarrow\orbr{\begin{cases}x=\frac{7}{15}:2\\x=\frac{-17}{15}:2\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{7}{15}.\frac{1}{2}\\x=\frac{-17}{15}.\frac{1}{2}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{7}{30}\\x=\frac{-17}{30}\end{cases}}}\)

Vậy \(x=\frac{7}{30}\)hoặc \(x=\frac{-17}{30}\)

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