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ĐK : 4x \(\ge\)0 => x\(\ge\)0
=> |x + 19| \(\ge\)0 ; |x + 5| \(\ge\)0 ; |x + 20.11| \(\ge\)0
Khi đó :
x + 19 + x + 5 + x + 20.11 = 4x
=> 3x + 19 + 5 + 220 = 4x
=> 3x + 244 = 4x
=> 244 = 4x - 3x
=> 224 = x
=> x = 224 (t/m Đk)
\(x.y+2y+x=6\)
\(\Rightarrow y.\left(x+2\right)+\left(x+2\right)-2=6\)
\(\Rightarrow y.\left(x+2\right)+\left(x+2\right)=8\)
\(\Rightarrow\left(x+2\right).\left(y+1\right)=8\)
\(\Rightarrow\left(x+2\right).\left(y+1\right)\inƯ\left(8\right)=\left\{1;2;4;8\right\}\) mà : \(x+2\ge2\)
\(\Rightarrow\) \(x+2=2\Rightarrow x=0\)
\(y+1=4\Rightarrow y=3\)
\(\Rightarrow x=0;y=3\)
a) \(x-\dfrac{3}{5}=\dfrac{4}{-10}\)
\(x=\dfrac{4}{-10}+\dfrac{3}{5}\)
\(x=\dfrac{-4}{10}+\dfrac{6}{10}\)
\(x=\dfrac{1}{5}\)
b) \(\dfrac{3}{x}-2=\dfrac{4}{x}+4\)
\(\dfrac{3}{x}-2+2=\dfrac{4}{x}+4+2\)
\(\dfrac{3}{x}=\dfrac{4}{x}+4\)
\(\dfrac{3}{x}=\dfrac{4x+4}{x}\)
\(3x=\left(4x+4\right)x\)
\(3x=5x\cdot x+4x\)
\(3x=x\left(5x+4\right)\)
\(3=5x+4\)
\(5x=-1\)
\(x=\dfrac{-1}{5}\)