2 câu trả lời
`2/3 - 1 5/7 x = - 10/3`
`⇒ 1 5/7 x = 2/3 - ( - 10/3 )`
`⇒ 12/7 x = 4`
`⇒ x = 4 : 12/7`
`⇒ x = 7/3`
Vậy `, x = 7/3 .`
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`1/10 : ( 3/4 - 2x )^2 = 0,4`
`⇒ 1/10 : ( 3/4 - 2x )^2 = 2/5`
`⇒ ( 3/4 - 2x )^2 = 1/10 : 2/5`
`⇒ ( 3/4 - 2x )^2 = 1/4`
`⇒` \(\left[ \begin{array}{l}( \frac{3}{4} - 2x )^2 = ( \frac{1}{2} )^2\\( \frac{3}{4} - 2x )^2 = ( \frac{- 1}{2} )^2\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}\frac{3}{4} - 2x = \frac{1}{2}\\\frac{3}{4} - 2x = \frac{- 1}{2}\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}2x = \frac{1}{4}\\2x = \frac{5}{4}\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}x = \frac{1}{8}\\x = \frac{5}{8}\end{array} \right.\)
Vậy `, x ∈ { 1/8 ; 5/8 }`
Đáp án+Giải thích các bước giải:
a,
`2/3-1 5/7x=-10/3`
`⇔2/3-12/7x=-10/3`
`⇔12/7x=2/3+10/3`
`⇔12/7x=4`
`⇔x=4: 12/7`
`⇔x=7/3`
Vậy `x=7/3`
b,
`1/10: (3/4-2x)^2=0,4`
`⇔(3/4-2x)^2=1/10: 2/5`
`⇔(3/4-2x)^2=1/4`
`⇔(3/4-2x)^2=(1/2)^2`
TH1:
`3/4-2x=1/2`
`⇔2x=3/4-2/4`
`⇔2x=1/4`
`⇔x=1/8`
TH2:
`3/4-2x=-1/2`
`⇔2x=3/4+2/4`
`⇔2x=5/4`
`⇔x=5/8`
Vậy `x={1/8,5/8}`