7/4 x +2/3 =5/6
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`@` `\text {Ans}`
`\downarrow`
\(\left(\dfrac{17}{5}+\dfrac{3}{4}\right)\cdot\left(-\dfrac{1}{2}-\dfrac{4}{3}\right)\)
`=`\(\dfrac{83}{20}\cdot\left(-\dfrac{11}{6}\right)=-\dfrac{913}{120}\)
(\(\dfrac{17}{5}\) + \(\dfrac{3}{4}\)).(-\(\dfrac{1}{2}\) - \(\dfrac{4}{3}\))
=( \(\dfrac{68}{20}\) + \(\dfrac{15}{20}\)).(- \(\dfrac{3}{6}\) - \(\dfrac{8}{6}\))
= \(\dfrac{83}{20}\).(\(-\dfrac{11}{6}\))
= - \(\dfrac{913}{120}\)
Diểm O ở đâu ra vậy em nhỉ, em xem kỹ lại đề bài em nhé!
\(\left(-\dfrac{3}{4}+\dfrac{5}{13}\right)\times\dfrac{7}{2}-\left(\dfrac{9}{4}-\dfrac{8}{13}\right)\times\dfrac{7}{2}\)
\(=-\dfrac{19}{52}\times\dfrac{7}{2}-\dfrac{85}{52}\times\dfrac{7}{2}\)
\(=\dfrac{7}{2}\times\left(-\dfrac{19}{52}-\dfrac{85}{52}\right)\)
\(=\dfrac{7}{2}\times-2\)
\(=-7\)
\(f\left(x\right)=0\Leftrightarrow x^2+3=0\)
⇔ Vô nghiệm để đa thức f(x)=0 (vì x2≥0⇒x2+3>0)
|7 - \(\dfrac{3}{4}\)\(x\)| - \(\dfrac{3}{2}\) = \(\dfrac{1}{\dfrac{1}{2}}\)
|7 - \(\dfrac{3}{4}x\)| - \(\dfrac{3}{2}\) = 2
|7 - \(\dfrac{3}{4}\)\(x\)| = 2 + \(\dfrac{3}{2}\)
|7 - \(\dfrac{3}{4}x\)| = \(\dfrac{7}{2}\)
\(\left[{}\begin{matrix}7-\dfrac{3}{4}x=\dfrac{7}{2}\\7-\dfrac{3}{4}x=-\dfrac{7}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=7-\dfrac{7}{2}\\\dfrac{3}{4}=7+\dfrac{7}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=\dfrac{7}{2}\\\dfrac{3}{4}x=\dfrac{21}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=\dfrac{14}{3}\\x=14\end{matrix}\right.\)
5 - |\(x-3\)| = 5
|\(x-3\)| = 5 - 5
|\(x-3\)| = 0
\(x-3\) = 0
\(x\) = 3
`@` `\text {Ans}`
`\downarrow`
\(\dfrac{7}{4}x+\dfrac{2}{3}=\dfrac{5}{6}\)
`\Rightarrow`\(\dfrac{7}{4}x=\dfrac{5}{6}-\dfrac{2}{3}\)
`\Rightarrow`\(\dfrac{7}{4}x=\dfrac{1}{6}\)
`\Rightarrow`\(x=\dfrac{1}{6}\div\dfrac{7}{4}\)
`\Rightarrow` `x=2/21`
Vậy, `x = 2/21.`
\(\dfrac{7}{4}.x+\dfrac{2}{3}=\dfrac{5}{6}\)
⇒\(\dfrac{7}{4}.x=\dfrac{5}{6}-\dfrac{2}{3}=\dfrac{1}{6}\)
⇒\(x=\dfrac{1}{6}:\dfrac{7}{4}=\dfrac{1}{6}.\dfrac{4}{7}=\dfrac{2}{21}\)