Câu Hỏi:3,25.X+4.X=22,5 giúp mik với!
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\(\left(3,25-\frac{2}{5}x\right)\div\frac{-7}{4}=-3\)
\(\Rightarrow\)\(\left(3,25-\frac{2}{5}x\right)\div\frac{-7}{4}=-3\)
\(\Rightarrow\)\(\frac{13}{4}-\frac{2}{5}x=\frac{21}{4}\)
\(\Rightarrow\)\(\frac{2}{5}x=-2\)
\(\Rightarrow\)\(x=-5\)
\(\left(x-1\right)^2=\left(x-1\right)^4\)
\(\Rightarrow\left(x-1\right)^2-\left(x-1\right)^4=0\)
\(\Rightarrow\left(x-1\right)^2.1-\left(x-1\right)^2.\left(x-1\right)^2=0\)
\(\Rightarrow\left(x-1\right)^2.\left[\left(x-1\right)^2-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(x-1\right)^2=0\\\left(x-1\right)^2-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\\left(x-1-1\right)\left(x-1+1\right)=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=1\\x=2;x=0\end{cases}}}\)
Vậy: \(x\in\left\{1;2;0\right\}\)
\(x\times6+x:\dfrac{1}{4}=3,25\)
\(x\times6+x\times4=3,25\)
\(x\times\left(6+4\right)=3,25\)
\(x\times10=3,25\)
\(x=3,25:10\)
\(x=0,325\)
\(x.6+x:\dfrac{1}{4}=3,25\)
\(x.6+x.4=3,25\)
\(x\left(6+4\right)=3,25\)
\(x.10=3,25\)
\(x=3,25:10\)
\(x=0,325\)
a) \(\left(x-3\right).\left(x^2+3x+9\right)-x.\left(x+4\right)\left(x-4\right)=21\)
\(\Leftrightarrow x^3-27-x.\left(x^2-16\right)=21\) \(\Leftrightarrow x^3-27-x^3+16x=21\)
\(\Leftrightarrow16x=21+27\) \(\Leftrightarrow16x=48\) \(\Leftrightarrow x=3\)
b) \(\left(x+2\right)\left(x^2-2x+4\right)-x.\left(x^2+2\right)=4\)
\(\Leftrightarrow x^3+8-x^3-2x=4\) \(\Leftrightarrow-2x=4-8\) \(\Leftrightarrow-2x=-4\) \(\Leftrightarrow x=2\)
\(\sqrt{x^2-4}-x+2=0\\ \Leftrightarrow\sqrt{x^2-4}=x-2\\ \Leftrightarrow\left(\sqrt{x^2-4}\right)^2=\left(x-2\right)^2\)
\(\Leftrightarrow x^2-4-\left(x-2\right)^2=0\)
\(\Leftrightarrow\left(x-2\right)\left(x+2\right)-\left(x-2\right)^2=0\)
\(\Leftrightarrow\left(x-2\right)\left(x+2-x+2\right)=0\)
\(\Leftrightarrow\left(x-2\right)4=0\)
\(\Leftrightarrow x=2\)
Vậy \(S=\left\{2\right\}\)