x (31-x)=0
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31x72 - 31x70 - 31 x 2 - 31
=31x(72 -70 -2 -1)
=31 x (-1)
= -31
những câu sau thì lam tương tự nha bạn ^_^
a) \(0,\left(31\right)+x=0,3\left(7\right)\\ \Rightarrow\dfrac{31}{99}+x=\dfrac{17}{45}\\ \Rightarrow x=\dfrac{17}{45}-\dfrac{31}{99}=\dfrac{32}{495}=0,0\left(64\right)\)
Vậy \(x=0,0\left(64\right)\)
b) \(0,\left(4\right)\cdot x=\dfrac{5}{6}\\ \Rightarrow\dfrac{4}{9}\cdot x=\dfrac{5}{6}\\ \Rightarrow x=\dfrac{5}{6}:\dfrac{4}{9}\\ \Rightarrow x=\dfrac{5}{6}\cdot\dfrac{9}{4}\\ \Rightarrow x=\dfrac{15}{8}=1,875\)
Vậy \(x=1,875\)
\(a,\left(-31\right).\left(x+7\right)=0\\ \Rightarrow x+7=0\\ \Rightarrow x=-7\\ b,\left(8-x\right).\left(x+13\right)=0\\ \Rightarrow\left[{}\begin{matrix}8-x=0\\x+13=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=8\\x=-13\end{matrix}\right.\\ c,\left(x^2-25\right)\left(3-x\right)=0\\ \Rightarrow\left(x-5\right)\left(x+5\right)\left(3-x\right)=0\\\Rightarrow \left[{}\begin{matrix}x-5=0\\x+5=0\\3-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5\\x=-5\\x=3\end{matrix}\right.\\ d,\left(x-3\right)\left(x^2+4\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-3=0\\x^2+4=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x^2=-4\left(loại\right)\end{matrix}\right.\\ \Rightarrow x=3\)
\(\left(x+\frac{9}{11}\right)\left(x-\frac{25}{31}\right)=0\)
\(=>\orbr{\begin{cases}x+\frac{9}{11}=0\\x-\frac{25}{31}=0\end{cases}}=>\orbr{\begin{cases}x=\frac{-9}{11}\\x=\frac{25}{31}\end{cases}}\)
Dấu \(\orbr{\begin{cases}\\\end{cases}}\)đó là hoặc nhé
Vì \(\left(x+\frac{9}{11}\right)\left(x-\frac{25}{31}=0\right)\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{9}{11}=0\\x-\frac{25}{31}=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{9}{11}\\x=\frac{25}{31}\end{cases}}}\)
Vậy :\(\orbr{\begin{cases}x=-\frac{9}{11}\\x=\frac{25}{31}\end{cases}}\)
Do (x+9/11)(x-25/31) = 0
=> x+9/11 = 0 hoặc x-25/31 = 0
+) Nếu x + 9/11 = 0 => x = 0 - 9/11 => x = -9/11
+) Nếu x - 25/31 = 0 => x = 0 + 25/31 => x = 25/31
KL: x = -9/11 hoặc x= 25/31
^^
\(x\left(31-x\right)=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\31-x=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=31\end{matrix}\right.\)