Question

Tìm x,biết:

a, \(\left|x+\dfrac{14}{15}\right|\) _ \(\left|-3,75\right|\) = \(-\left|-2,15\right|\)

Answer 1

│x+14/15│-3,75=-2,15

│x+14/15│=-2,15+3,75=1,6

Suy ra :

TH1 :x+14/15=1,6

x=2/3

TH2 :x+14/15=-1,6

x=-38/15

Answer 2

\(\left|x+\dfrac{14}{15}\right|-\left|-3,75\right|=-\left|-2,15\right|\)

\(\Leftrightarrow\left|x+\dfrac{14}{15}\right|-3,75=-2,15\)

\(\Leftrightarrow\left|x+\dfrac{14}{15}\right|=-2,15+3,75\)

\(\Leftrightarrow\left|x+\dfrac{14}{15}\right|=1,6\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{14}{15}=-1,6\\x+\dfrac{14}{15}=1,6\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-38}{15}\\x=\dfrac{2}{3}\end{matrix}\right.\)

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Answer 3

│x+14/15│-3,75=-2,15

│x+14/15│=-2,15+3,75=1,6

Suy ra :

TH1 :x+14/15=1,6

x=2/3

TH2 :x+14/15=-1,6

x=-38/15