71+65.4=x+140/x+260
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\(331=\left(x+140\right).\frac{1}{x}+260\)
\(\left(x+140\right).\frac{1}{x}+260-331=0\)
\(\left(x+140\right).\frac{1}{x}-71=0\)
\(\frac{1}{x}.x+\frac{1}{x}.140-71=0\)
\(1+\frac{1}{x}.140=0\)
\(\frac{1}{x}.140=0-1=-1\)
\(\frac{1}{x}=-\frac{1}{140}\Rightarrow x=1:-\frac{1}{140}=-140\)
\(71+260=\frac{x+140+260x}{x
}\)
\(331=\frac{261x+140}{x}\)
\(331x=261x+140\)
\(70x=140\)
\(x=2\)
Nhớ thêm dấu khi và chỉ khi <=> trước mỗi phép kia nhé, mình lười quá không ghi
a, ( x . 0,25+1999).2000=(53+1999).2000
=> 500x + 1999 . 2000 = 53 . 2000 + 1999 . 2000
=> 500x = 53 . 2000 + 1999 . 2000 - 1999 .2000
=> 500x = 53 . 2000
=> x = 53 . 2000 : 500
=> x = 53 . 4
=> x = 212
a) 3/x-7 = 27/135
3/x-7 = 3/15
x - 7 = 15
x = 15 + 7
x = 22
a) \(\frac{3}{x-7}=\frac{27}{135}\)
\(\Rightarrow\)\(\left(x-7\right).27=3.135\)
\(\Rightarrow\)\(\left(x-7\right).27=405\)
\(\Rightarrow\)\(x-7=15\)
\(\Rightarrow\)\(x=22\)
Vậy \(x=22\)
b ) \(71+65.4=\frac{x+140}{x}+260\)
\(71+260=\frac{x+140}{x}+260\)
\(331=\frac{x+140}{x}+260\)
\(331-260=\frac{x+140}{x}\)
\(71=\frac{x+140}{x}\)
\(71=\frac{x}{x}+\frac{140}{x}\)
\(71=1+\frac{140}{x}\)
\(70=\frac{140}{x}\)
\(x=140\div70\)
\(x=20\)
Vậy \(x=20\)
#TQY
\(\frac{x+140}{x+260}=71+65.4\)
\(\Leftrightarrow\frac{x+140}{x+260}=71+260\)
\(\Leftrightarrow\frac{x+140}{x+260}=331\)
\(\Leftrightarrow x+140=\left(x+260\right)331\)
\(\Leftrightarrow x+140=86060+331x\)
\(\Leftrightarrow x-331x=85920\)
\(\Leftrightarrow x\left(331-1\right)=85920\)
\(\Leftrightarrow x330=85920\)
\(\Leftrightarrow x\approx260,2\)
\(71+65\times4=\left(x+140\right):x+260\)
\(71+260=\left(x+140\right):x+260\)
\(71+260-260=\left(x+140\right):x\)
\(71=\left(x+140\right):x\)
\(71x=x+140\)
\(71x-x=140\)
\(70x=140\)
\(x=2\)
\(71+260=\frac{x+140}{x}+260\)
\(\frac{x+140}{x}=71+260-260=71\)
\(x+140=71x\)
\(x-71x=-140\)
\(-70x=-140\)
\(x=\frac{-140}{-70}=2\)
Vậy \(x=2\)
Ta có \(71+65\times4=\frac{x+140}{x}+26\)
\(\Rightarrow71+260=\frac{x+140}{x}+260\)
\(\Rightarrow\frac{x+140}{x}=71\)( triệt tiêu hai vế đi 260 )
\(\Rightarrow x+140=71x\)
\(\Rightarrow70x=140\)
\(\Rightarrow x=2\)
Vậy x = 2
71 + 65 x 4 = x + 140/x + 260
x + 140/x + 260 = 71 + 65 x 4
x + 140/x + 260 = 71 + 260
x + 140/x = 71
x/x + 140/x = 71
1 + 140/x = 71
140/x = 71 - 1
140/x = 70
x = 140/70
x = 2
\(71+65\cdot4=\dfrac{x+140}{x+260}\)
=>\(\dfrac{x+140}{x+260}=331\)
=>331(x+260)=x+140
=>331x+86060=x+140
=>330x=-85920
=>\(x=-\dfrac{8592}{33}=-\dfrac{2864}{11}\)