3.75 : x = 15 : 10
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a, \(\dfrac{11}{13}-\left(\dfrac{5}{42}-x\right)=-\left(\dfrac{15}{28}-\dfrac{11}{13}\right)\)
\(\Rightarrow\dfrac{11}{13}-\dfrac{5}{42}+x=\dfrac{-15}{28}+\dfrac{11}{13}\)
\(\Rightarrow x=\dfrac{-15}{28}+\dfrac{11}{13}-\dfrac{11}{13}+\dfrac{5}{42}\)
\(\Rightarrow x=\dfrac{-5}{12}\)
Vậy....
b, \(\left|x+\dfrac{4}{15}\right|-\left|-3,75\right|=-\left|2,15\right|\)
\(\Rightarrow\left|x+\dfrac{4}{15}\right|-3,75=-2,15\)
\(\Rightarrow\left|x+\dfrac{4}{15}\right|=1,6\)
\(\Rightarrow\left\{{}\begin{matrix}x+\dfrac{4}{15}=1,6\\x+\dfrac{4}{15}=-1,6\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{4}{3}\\x=-\dfrac{28}{15}\end{matrix}\right.\)
Vậy.....
Chúc bạn học tốt!!!
a)
\(\dfrac{11}{13}-\left(\dfrac{5}{42}-x\right)=-\left(\dfrac{15}{28}-\dfrac{11}{13}\right)\)
\(\Leftrightarrow\dfrac{11}{13}-\dfrac{5}{42}+x=\dfrac{113}{364}\Leftrightarrow x=\dfrac{113}{364}+\dfrac{5}{42}-\dfrac{11}{13}=-\dfrac{5}{12}\)
b)
\(\left|x+\dfrac{4}{15}-\right|-\left|-3,75\right|=-\left|2,15\right|\)
\(\Leftrightarrow\left|x+\dfrac{4}{15}\right|-3,75=-2,15\Leftrightarrow\left|x+\dfrac{4}{15}\right|=1,6\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{4}{15}=1,6\\x+\dfrac{4}{15}=-1,6\end{matrix}\right.\)\(\Leftrightarrow x\in\left\{\dfrac{4}{3};-\dfrac{28}{15}\right\}\)
x : 4 + x = 3,75
x : ( 4-1 ) = 3,75
x : 3 = 3,75
x = 3,75 x 3
x= 11,25
X x1/4 + X = 3,75
X x ( 1 + 1/4 ) = 3,75
X x 1/1/4 = 3,75
X x 1,25 = 3,75
X = 3,75 : 1,25
X =3
a: \(\left|x+\dfrac{4}{15}\right|-\left|-3.75\right|=-\left|-2.5\right|\)
\(\Leftrightarrow\left|x+\dfrac{4}{15}\right|=-2.5+3.75=1.25=\dfrac{5}{4}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{4}{15}=\dfrac{5}{4}\\x+\dfrac{4}{15}=-\dfrac{5}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{59}{60}\\x=-\dfrac{91}{60}\end{matrix}\right.\)
c: \(\left|x-y\right|+\left|y+\dfrac{9}{25}\right|=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-y=0\\y+\dfrac{9}{25}=0\end{matrix}\right.\Leftrightarrow x=y=-\dfrac{9}{25}\)
d: Ta có: \(\left|x\left(x^2-\dfrac{5}{4}\right)\right|=x\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=0\\x\left(x^2-\dfrac{5}{4}\right)=x\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x>=0\\x\left(x^2-\dfrac{9}{4}\right)=0\end{matrix}\right.\Leftrightarrow x\in\left\{0;\dfrac{3}{2}\right\}\)
=2.25*\(\left(0.5+2\right)\)+3.75
=2.25*2.5+3.75
=5.625+3.75
=5.7
96 - 3. 75: x= 94,5
96 - 225: x= 945\10
96- 225: x= 189\2
225: x= 96- 189\2
225:x=192\2-189\2
225:x=3\2
x=225:3\2
X=225.2\3
x=150
96 - 3. 75: x= 94,5
96 - 225: x= 945\10
96- 225: x= 189\2
225: x= 96- 189\2
225:x=192\2-189\2
225:x=3\2
x=225:3\2
X=225.2\3
x=150
3,75/X=1,5 X=3,75/1,5=2,5
3,75: x= 1,5
=3,75: 1,5
=2,5
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