Tìm x:
(0,5x-1) - (3,5x+3)= \(\frac{1}{5}\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(3,5x-25=60.\frac{3}{4}\Leftrightarrow3,5x-25=45\)
\(\Leftrightarrow3,5x=45+25\Leftrightarrow3,5x=70\Leftrightarrow x=\frac{70}{3,5}=20\)
b) \(-1\frac{1}{2}x+\frac{1}{5}=2\frac{3}{10}\Leftrightarrow\frac{-3}{2}x=\frac{23}{10}\Leftrightarrow x=\frac{23}{10}:\frac{-3}{2}=\frac{-23}{15}\)
a)\(3,5x-25=60:\frac{3}{4}=80\)
\(3,5x=80+25\)
\(3,5x=105\)
\(x=105:3,5\)
\(x=30\)
b) \(\frac{-3}{2}x+\frac{1}{5}=\frac{23}{10}\)
\(\frac{-3}{2}x=\frac{23}{10}-\frac{1}{5}=\frac{21}{10}\)
\(x=\frac{21}{10}:\frac{-3}{2}\)
\(x=\frac{-7}{5}\)
\(\hept{\begin{cases}\text{|}0,5x\text{|}=0,5x\\\sqrt{\left(0,5x\right)^2}=0,5x\\\left(0,5x\right)^2=\left(0,5x\right)^2\end{cases}}\)
2, tương tự
\(\hept{\begin{cases}\text{|}-\frac{2}{3}x\text{|}=\frac{2}{3}x\\\sqrt{\left(-\frac{2}{3}x\right)^2}=\frac{2}{3}x\\\left(-\frac{2}{3}x\right)^2=\left(\frac{2}{3}x\right)^2\end{cases}}\)
4, tương tự
mình viết nhầm, mình sửa lại bài nhé
\(\frac{x+1}{2x+1}-\frac{0,5x+2}{x+3}\)
\(\Rightarrow\) (x+1)(x+3) = (0,5x+2)(2x+1)
\(\Rightarrow\) x2 + 3x + x + 3 = x2 + 0,5x + 4x + 2
\(\Rightarrow\) x2 + 4x + 3 = x2 + 4,5x + 2
\(\Rightarrow\) x2 - x2 + 4x - 4,5x = 2 - 3
\(\Rightarrow\) -0,5x = -1
\(\Rightarrow\) x = \(\frac{-1}{-0,5}\)
\(\Rightarrow\) x = 2
Vậy x = 2
\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\)
\(\Rightarrow\) (x + 1)(x + 3) = (2x + 1)(0,5x + 2)
\(\Rightarrow\) x2 + 3x + x + 3 = x2 + 4x + 0,5x + 2
\(\Rightarrow\) x2 + 3x + x + 3 - x2 - 4x - 0,5x - 2 = 0
\(\Rightarrow\) 0,5x + 1 = 0
\(\Rightarrow\) 0,5x = 0 - 1
\(\Rightarrow\) 0,5x = -1
\(\Rightarrow\) x = -1 : 0,5
\(\Rightarrow\) x = -2
Vậy x = -2
\(a)\) \(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}\)
\(\Leftrightarrow\)\(\left(2x+1\right)\left(0,5x+2\right)=\left(x+1\right)\left(x+3\right)\)
\(\Leftrightarrow\)\(2x\left(0,5x+2\right)+0,5x+2=x\left(x+1\right)+3\left(x+1\right)\)
\(\Leftrightarrow\)\(x^2+4x+0,5+2=x^2+x+3x+3\)
\(\Leftrightarrow\)\(x^2+4x-x^2-4x=3-0,5-2\)
\(\Leftrightarrow\)\(0=0,5\) ( vô lí :'< )
Vậy không có x thoả mãn đề bài
áp dụng tính chất của dãy tỉ số bằng nhau ta có:
\(\frac{x+1}{2x+1}=\frac{0,5+2}{x+3}=\frac{\left(x+1\right)-2.\left(0,5x+2\right)}{\left(2x+1\right)-2.\left(x+3\right)}=\frac{x+1-x-4}{2x+1-2x-6}=\frac{-3}{-5}=\frac{3}{5}\)
suy ra:
\(\frac{x+1}{2x+1}=\frac{3}{5}\Rightarrow5.\left(x+1\right)=3.\left(2x+1\right)\)
=>5x+5=6x+3
5x-6x=3-5
-x=-2
x=2
a. \(0,5x-\frac{1}{3}x=\frac{1}{3}\)
\(\left(0,5-\frac{1}{3}\right)x=\frac{1}{3}\)
\(\frac{1}{6}x=\frac{1}{3}\)
\(x=\frac{1}{3}:\frac{1}{6}\)
\(x=2\)
b. \(x:3\frac{1}{2}=-1,5\)
\(x=-1,5\times3\frac{1}{2}\)
\(x=-5,25\)
c. \(1,5x=\frac{11}{5}\)
\(x=\frac{22}{15}\)
(1/2x-1)-(7/2x+3)=1/5 1/2x-1-7/2x-3=1/5 (1/2x-7/2x)-(1+3)=1/5 -3x-4=1/5 -3x=21/5 =>x=-7/5
( 0,5x - 1 ) - ( 3,5x + 3 )= 1/5
( 1/2x - 1 ) - ( 7/2x + 3 = 1/5
1/2x - 1 - 7/2x - 3 = 1/5
( 1/2x - 7/2x ) - ( 1 + 3 ) = 1/5
-3x - 4 = 1/5
-3x = 1/5 + 4
-3x = 1/5 + 20/5
-3x = 21/5
x = 21/5 : (-3)
x = 21/5 . (-1/3)
x = -7/5
Vậy x = -7/5