Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
1/2 . x - 1/3 = 1/4 + 3/2
1/2 . x - 1/3 = 7/4
1/2 . x = 7/4 + 1/3
1/2 . x = 25/12
x = 25/12 : 1/2
x = 25/6
vậy x = ...
\(1\left(\dfrac{1}{2}x-\dfrac{1}{3}\right)-\dfrac{3}{2}=\dfrac{1}{4}\)
\(\Leftrightarrow1\left(\dfrac{1}{2}x-\dfrac{1}{3}\right)=\dfrac{1}{4}+\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{7}{4}\)
\(\Leftrightarrow\dfrac{1}{2}x=\dfrac{25}{12}\)
\(\Leftrightarrow x=\dfrac{25}{6}\)
`x xx 3/4 =11/4`
`=> x=11/4 :3/4`
`=> x=11/4 xx 4/3`
`=> x= 44/12`
`=>x= 11/3`
Vậy `x=11/3`
Lời giải:
$x\times \frac{3}{4}=\frac{11}{4}$
$x=\frac{11}{4}: \frac{3}{4}=\frac{11}{3}$
\(\left(n^2+\dfrac{1}{2}\right)^2-\dfrac{3}{4}\ge\dfrac{1}{4}-\dfrac{3}{4}=-\dfrac{1}{2}\forall n\)
Dấu '=' xảy ra khi n=0
a) \(2\dfrac{3}{4}-x=\dfrac{3}{4}\)
\(\Rightarrow\dfrac{11}{4}-x=\dfrac{3}{4}\)
\(\Rightarrow x=\dfrac{11}{4}-\dfrac{3}{4}=\dfrac{8}{4}=2\)
b) \(x:\dfrac{5}{6}=-\dfrac{3}{5}\)
\(\Rightarrow x=-\dfrac{3}{5}.\dfrac{5}{6}=-\dfrac{15}{30}=-\dfrac{1}{2}\)
c) \(1\dfrac{1}{3}+\dfrac{2}{3}:x=1\)
\(\Rightarrow\dfrac{2}{3}:x=1-1\dfrac{1}{3}\)
\(\Rightarrow\dfrac{2}{3}:x=-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{3}:-\dfrac{1}{3}\)
\(\Rightarrow x=-2\)
d) \(x-\dfrac{1}{9}=\dfrac{8}{3}\)
\(\Rightarrow x=\dfrac{8}{3}+\dfrac{1}{9}\)
\(\Rightarrow x=\dfrac{25}{9}\)
e) \(\dfrac{1}{2}x+650\%x-x=-6\)
\(\Rightarrow\dfrac{1}{2}x+\dfrac{13}{2}x-x=-6\)
\(\Rightarrow x\left(\dfrac{1}{2}+\dfrac{13}{2}-1\right)-6\)
\(\Rightarrow6x=-6\)
\(\Rightarrow x=\dfrac{-6}{6}=-1\)
g) \(2\left(x-\dfrac{1}{2}\right)+3\left(-1+\dfrac{x}{3}\right)=x\left(\dfrac{2}{x}-1\right)\) \(\text{Đ}K:x\ne0\)
\(\Rightarrow2x-1-3+x=2-x\)
\(\Rightarrow3x-4=2-x\)
\(\Rightarrow3x+x=2+4\)
\(\Rightarrow4x=6\)
\(\Rightarrow x=\dfrac{6}{4}=\dfrac{3}{2}\)
=>4x-8=3x+3
=>4x-3x=8+3
=>x=11
\(\dfrac{4\left(x-2\right)}{12}=\dfrac{3\left(x+1\right)}{12}\\ 4x-8-3x-3=0\\ x-11=0\\ x=11\)