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1\(x\) - (\(x\) - \(\dfrac{1}{3}\)) = \(\dfrac{1}{6}\)
\(x\) - \(x\) + \(\dfrac{1}{3}\) = \(\dfrac{1}{6}\)
\(\dfrac{1}{3}\) = \(\dfrac{1}{6}\) (vô lí)
Vậy không có giá trị nào của \(x\) thỏa mãn đề bài
\(\dfrac{x-1}{-15}\) = - \(\dfrac{60}{x-1}\)
(\(x\) - 1).(\(x\) - 1) = (-60).(-15)
(\(x\) - 1)2 = 900
\(\left[{}\begin{matrix}x-1=-30\\x-1=30\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-29\\x=31\end{matrix}\right.\)
Vậy \(x\in\) {-29; 31}
\(\dfrac{x-1}{-15}=\dfrac{-60}{x-1}\)
\(\Leftrightarrow\left(x-1\right)\left(x-1\right)=\left(-15\right)\left(-60\right)\)
\(\Leftrightarrow\left(x-1\right)^2=900\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(x-1\right)^2=30^2\\\left(x-1\right)^2=\left(-30\right)^2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-1=30\\x-1=-30\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=31\\x=-29\end{matrix}\right.\)
Vậy .................
\(\dfrac{x-1}{-15}=\dfrac{-60}{x-1}\)
\(\Rightarrow\left(x-1\right)\left(x-1\right)=\left(-60\right)\left(-15\right)\)
\(\Rightarrow\left(x-1\right)^2=900\)
\(\Rightarrow\left(x-1\right)^2=\pm30^2\)
\(\Rightarrow\left[{}\begin{matrix}x-1=30\\x-1=-30\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=31\\x=-29\end{matrix}\right.\)
\(\dfrac{x-1}{-15}=\dfrac{-60}{x-1}\)
\(\Leftrightarrow\left(x-1\right)\left(x-1\right)=\left(-15\right)\left(-60\right)\)
\(\Leftrightarrow\left(x-1\right)^2=900\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(x-1\right)^2=30^2\\\left(x-1\right)^2=\left(-30\right)^2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-1=30\\x-1=-30\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=31\\x=-29\end{matrix}\right.\)
Vậy ................
bn nên ghi rõ r. Bn vt thế này mk ko hiểu bn vt cái j cả
\(\frac{x-1}{15}=\frac{-60}{1-x}\)
\(x-1=\frac{900}{1-x}\)
\(\left(x-1\right)\left(1-x\right)=-900\)
\(x-x^2-1+x=-900\)
\(2x-x^2-1=-900\)
\(2x-x^2-1+900=0\)
\(2x-x^2-899=0\)
\(\left(x-31\right)\left(x+29\right)=0\)
\(\orbr{\begin{cases}x-31=0\\x+29=0\end{cases}}\)
\(\orbr{\begin{cases}x=31\\x=-29\end{cases}}\)
x-1/-15 = -60/x-1
=> (x-1)2 = 900
=> (x-1)2 = 302
=> \(\hept{\begin{cases}x-1=-30\\x-1=30\end{cases}}\)
=>\(\hept{\begin{cases}x=-29\\x=31\end{cases}}\)
\(\frac{x-1}{-15}=\frac{-60}{x-1}\left(ĐK:x\ne1\right)\)
\(\Rightarrow\left(x-1\right)\left(x-1\right)=\left(-15\right)\left(-60\right)\\ \Rightarrow\left(x-1\right)^2=900\\ \Rightarrow\left[{}\begin{matrix}x-1=30\\x-1=-30\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=31\left(t/m\right)\\x=-29\left(t/m\right)\end{matrix}\right.\)
\(\text{Vậy }x\in\left\{31;-29\right\}\)
\(\dfrac{x-1}{-15}=\dfrac{60}{1-x}\\ \dfrac{1-x}{15}=\dfrac{60}{1-x}\\ \left(1-x\right)^2=60.5\\ \left(1-x\right)^2=900\\ \left[{}\begin{matrix}1-x=30\\1-x=-30\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-29\\x=31\end{matrix}\right.\)
Vậy..
(x-1).(x-1)=-15.60
=>(x-1)^2=-900
=>(x-1)^2=30^2
=>x-1=30
=>x=31
a) Ta có: \(\dfrac{x}{-15}=\dfrac{-60}{x}\)
\(\Leftrightarrow x^2=\left(-15\right)\cdot\left(-60\right)=900\)
hay \(x\in\left\{30;-30\right\}\)
Vậy: \(x\in\left\{30;-30\right\}\)
b) Ta có: \(\left|x\right|+0.573=2\)
\(\Leftrightarrow\left|x\right|=1.427\)
hay \(x\in\left\{1.427;-1.427\right\}\)
Vậy: \(x\in\left\{1.427;-1.427\right\}\)
c) Ta có: \(\left|x+\dfrac{1}{3}\right|-4=-1\)
\(\Leftrightarrow\left|x+\dfrac{1}{3}\right|=3\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=3\\x+\dfrac{1}{3}=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=-\dfrac{10}{3}\end{matrix}\right.\)
Vậy: \(x\in\left\{\dfrac{8}{3};-\dfrac{10}{3}\right\}\)
d) Ta có: \(0.01:2.5=\left(0.75x\right):0.75\)
\(\Leftrightarrow\dfrac{0.75\cdot x}{0.75}=\dfrac{0.01}{2.5}\)
\(\Leftrightarrow x=\dfrac{1}{250}\)
Vậy: \(x=\dfrac{1}{250}\)
\(\dfrac{x-1}{-15}=\dfrac{-60}{x-1}\\ \Rightarrow\left(x-1\right)^2=-15\cdot\left(-60\right)\\ \Rightarrow\left(x-1\right)^2=900\\ \Rightarrow\left[{}\begin{matrix}x-1=30\\x-1=-30\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=31\\x=-29\end{matrix}\right.\)