## (3/4 nhân x -9/16) nhân (1/3 + -3/5 chia x) =0

Question

(3/4 nhân x -9/16) nhân (1/3 + -3/5 chia x) =0

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5 tháng 2021-07-25T01:32:49+00:00 2 Answers 19 views 0

1. 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}$$\left[ \begin{array}{l}x=\dfrac{3}{4}\\x=\dfrac{9}{5}\end{array} \right.$$

2. (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}$.}$