Toán (3/4 nhân x -9/16) nhân (1/3 + -3/5 chia x) =0 25/07/2021 By Ariana (3/4 nhân x -9/16) nhân (1/3 + -3/5 chia x) =0
Đáp án:\(\left[ \begin{array}{l}x=\dfrac{3}{4}\\x=\dfrac{9}{5}\end{array} \right.\) Giải thích các bước giải: `(3/4 . x -9/16) . (1/3 + -3/5 : x) = 0` \(\left[ \begin{array}{l}\dfrac{3}{4} . x \dfrac{-9}{16}=0\\(\dfrac{1}{3} + \dfrac{-3}{5} : x) = 0\end{array} \right.\) \(\left[ \begin{array}{l}\dfrac{3}{4} . x \dfrac{-9}{16}=0\\(\dfrac{1}{3} + \dfrac{-3}{5} : x) = 0\end{array} \right.\) `\Rightarrow`\(\left[ \begin{array}{l}\dfrac{3}{4}x=0+\dfrac{9}{16}\\\dfrac{-3}{5}:x=\dfrac{-1}{3}\end{array} \right.\) `\Rightarrow`\(\left[ \begin{array}{l}\dfrac{3}{4}x=\dfrac{9}{16}\\x=(\dfrac{-3}{5}):(\dfrac{-1}{3})\end{array} \right.\) `\Rightarrow`\(\left[ \begin{array}{l}x=\dfrac{9}{16}:\dfrac{3}{4}\\x=(\dfrac{-3}{5}):(\dfrac{-1}{3})\end{array} \right.\) `\Rightarrow`\(\left[ \begin{array}{l}x=\dfrac{9}{16}. \dfrac{4}{3}\\x=(\dfrac{-3}{5}).(-3)\end{array} \right.\) `\Rightarrow`\(\left[ \begin{array}{l}x=\dfrac{3}{4}\\x=\dfrac{9}{5}\end{array} \right.\) `\text{Vậy}`\(\left[ \begin{array}{l}x=\dfrac{3}{4}\\x=\dfrac{9}{5}\end{array} \right.\) Reply
`(3/4x-9/16).(1/3+ -3/5÷x)=0` `3/4x-9/16=0\text{ hoặc }1/3+ -3/5÷x=0` $\text{* $\dfrac{3}{4}$x – $\dfrac{9}{16}$ = 0.}$ `⇒3/4x=0+9/16.` `⇒3/4x=9/16.` `⇒x=9/16÷3/4.` `⇒x=9/16. 4/3.` `⇒x=3/4.` $\text{* $\dfrac{1}{3}$ + $\dfrac{-3}{5}$ ÷ x= 0.}$ `⇒-3/5÷x=-1/3.` `⇒x=(-3/5)÷(-1/3).` `⇒x=(-3/5).(-3/1).` `⇒x=9/5.` $\text{Vậy x = $\dfrac{3}{4}$ hoặc x = $\dfrac{9}{5}$.}$ Reply
Đáp án:
\(\left[ \begin{array}{l}x=\dfrac{3}{4}\\x=\dfrac{9}{5}\end{array} \right.\)
Giải thích các bước giải:
`(3/4 . x -9/16) . (1/3 + -3/5 : x) = 0`
\(\left[ \begin{array}{l}\dfrac{3}{4} . x \dfrac{-9}{16}=0\\(\dfrac{1}{3} + \dfrac{-3}{5} : x) = 0\end{array} \right.\)
\(\left[ \begin{array}{l}\dfrac{3}{4} . x \dfrac{-9}{16}=0\\(\dfrac{1}{3} + \dfrac{-3}{5} : x) = 0\end{array} \right.\)
`\Rightarrow`\(\left[ \begin{array}{l}\dfrac{3}{4}x=0+\dfrac{9}{16}\\\dfrac{-3}{5}:x=\dfrac{-1}{3}\end{array} \right.\)
`\Rightarrow`\(\left[ \begin{array}{l}\dfrac{3}{4}x=\dfrac{9}{16}\\x=(\dfrac{-3}{5}):(\dfrac{-1}{3})\end{array} \right.\)
`\Rightarrow`\(\left[ \begin{array}{l}x=\dfrac{9}{16}:\dfrac{3}{4}\\x=(\dfrac{-3}{5}):(\dfrac{-1}{3})\end{array} \right.\)
`\Rightarrow`\(\left[ \begin{array}{l}x=\dfrac{9}{16}. \dfrac{4}{3}\\x=(\dfrac{-3}{5}).(-3)\end{array} \right.\)
`\Rightarrow`\(\left[ \begin{array}{l}x=\dfrac{3}{4}\\x=\dfrac{9}{5}\end{array} \right.\)
`\text{Vậy}`\(\left[ \begin{array}{l}x=\dfrac{3}{4}\\x=\dfrac{9}{5}\end{array} \right.\)
`(3/4x-9/16).(1/3+ -3/5÷x)=0`
`3/4x-9/16=0\text{ hoặc }1/3+ -3/5÷x=0`
$\text{* $\dfrac{3}{4}$x – $\dfrac{9}{16}$ = 0.}$
`⇒3/4x=0+9/16.`
`⇒3/4x=9/16.`
`⇒x=9/16÷3/4.`
`⇒x=9/16. 4/3.`
`⇒x=3/4.`
$\text{* $\dfrac{1}{3}$ + $\dfrac{-3}{5}$ ÷ x= 0.}$
`⇒-3/5÷x=-1/3.`
`⇒x=(-3/5)÷(-1/3).`
`⇒x=(-3/5).(-3/1).`
`⇒x=9/5.`
$\text{Vậy x = $\dfrac{3}{4}$ hoặc x = $\dfrac{9}{5}$.}$