x + 60 = 120
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\(ĐKXĐ:\hept{\begin{cases}x\ne0\\x\ne30\\x\ne24\end{cases}}\)
Ta có \(\frac{60}{\frac{120}{x}-4}+\frac{60}{\frac{120}{x}-5}=x\)
\(\Leftrightarrow\frac{60}{\frac{120-4x}{x}}+\frac{60}{\frac{120-5x}{x}}=x\)
\(\Leftrightarrow\frac{60x}{120-4x}+\frac{60x}{120-5x}=x\)
\(\Leftrightarrow\frac{60}{120-4x}+\frac{60}{120-5x}=1\left(Do\text{ }x\ne0\right)\)
\(\Leftrightarrow\frac{15}{30-x}=1-\frac{12}{24-x}\)
\(\Leftrightarrow\frac{15}{30-x}=\frac{24-x-12}{24-x}\)
\(\Leftrightarrow\frac{15}{30-x}=\frac{12-x}{24-x}\)
\(\Leftrightarrow360-15x=\left(12-x\right)\left(30-x\right)\)
\(\Leftrightarrow360-15x=360-42x+x^2\)
\(\Leftrightarrow x^2-27x=0\)
\(\Leftrightarrow x\left(x-27\right)=0\)
\(\Leftrightarrow x=27\left(Tm\text{ }ĐKXĐ\right)\)
\(1440:\left[120-\left(3.9x\right)\right]=120\) \(120+\left[\left(999-9x\right):60\right].24=480\)
\(120-\left(3.9x\right)=1440:120\) \(\left[\left(999-9x\right):60\right].24=360\)
\(120-\left(3.9x\right)=12\) \(\left(999-9x\right):60=15\)
\(3.9x=120-12\) \(999-9x=900\)
\(3.9x=108\) \(9x=999-900\)
\(9x=108:3\) \(9x=99\)
\(9x=36\) \(x=99:9\)
\(x=4\) \(x=11\)
480 ÷ x - 120 ÷ x = 60
(480 - 120) ÷ x = 60
360 ÷ x = 60
x = 360 ÷ 60
x = 6
\(\frac{60}{x+5}+\frac{60}{x-4}=\frac{120}{x}\Rightarrow\frac{1}{x+5}+\frac{1}{x-4}=\frac{2}{x}\)
\(\Rightarrow\frac{x\left(x-4\right)+x\left(x+5\right)-2\left(x+5\right)\left(x-4\right)}{x\left(x+5\right)\left(x-4\right)}=0\)
\(\Rightarrow\frac{x^2-4x+x^2+5x-2x^2-2x+40}{x\left(x+5\right)\left(x-4\right)}=0\)
\(\frac{-x+40}{x\left(x+5\right)\left(x-4\right)}=0\)
mà x(x+5)(x-4) khác 0 nên
-x+40=0
nên x=40
60
k nhé
x + 60 = 120
x = 120 - 60
x = 60 ai tk mk, mk tk lại~~~~~~~~~~~~