tìm x
1/2*x -2/5*x= 7/12
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Bài 1 :
\(a)\frac{-17}{30}-\frac{11}{-15}+\left(-\frac{7}{12}\right)\)
\(=\frac{1}{6}+\left(-\frac{7}{12}\right)\)
\(=-\frac{5}{12}\)
\(b)-\frac{5}{9}+\frac{5}{9}:\left(1\frac{2}{3}-2\frac{1}{12}\right)\)
\(=-\frac{5}{9}+\frac{5}{9}:\left(\frac{5}{3}-\frac{25}{12}\right)\)
\(=-\frac{5}{9}+\frac{5}{9}:\left(-\frac{5}{12}\right)\)
\(=-\frac{5}{9}+\left(-\frac{2}{3}\right)\)
\(=-\frac{1}{9}\)
\(c)-\frac{7}{25}\times\frac{11}{13}+\left(-\frac{7}{25}\right)\times\frac{2}{13}-\frac{18}{25}\)
\(=-\frac{77}{325}+\left(-\frac{14}{325}\right)-\frac{18}{25}\)
\(=-\frac{7}{25}-\frac{18}{25}\)
\(=-1\)
1) = \(\frac{3}{5}\)
2) =\(\frac{6}{7}\)
3)\(\frac{9}{13}\)
4)\(\frac{4}{13}\)
\(ac=-12< 0\) nên pt luôn có 2 nghiệm pb trái dấu
Theo hệ thức Viet: \(\left\{{}\begin{matrix}x_1+x_2=2\left(m+1\right)\\x_1x_2=-12\end{matrix}\right.\)
\(x_1^2-x_2^2-14\left(m+1\right)=0\)
\(\Leftrightarrow\left(x_1-x_2\right)\left(x_1+x_2\right)-14\left(m+1\right)=0\)
\(\Leftrightarrow\left(x_1-x_2\right).2\left(m+1\right)-14\left(m+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}m=-1\\x_1-x_2=7\left(1\right)\end{matrix}\right.\)
Xét (1), kết hợp với Viet ta được: \(\left\{{}\begin{matrix}x_1+x_2=2\left(m+1\right)\\x_1-x_2=7\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x_1=\dfrac{2m+9}{2}\\x_2=\dfrac{2m-5}{2}\end{matrix}\right.\)
Thế vào \(x_1x_2=-12\Leftrightarrow\left(\dfrac{2m+9}{2}\right)\left(\dfrac{2m-5}{2}\right)=-12\)
\(\Leftrightarrow4m^2+8m+3=0\Rightarrow\left[{}\begin{matrix}m=-\dfrac{3}{2}\\m=-\dfrac{1}{2}\end{matrix}\right.\)
Vậy \(m=\left\{-1;-\dfrac{3}{2};-\dfrac{1}{2}\right\}\)
a: x*3/4=1/5
=>x=1/5:3/4=1/5*4/3=4/15
b: x*3/7=2/5
=>x=2/5:3/7=2/5*7/3=14/15
c: 1/3+2/9=2/12x
=>1/6x=3/9+2/9=5/9
=>x=5/9*6=30/9=10/3
d: 4/15*x-2/3=1/5
=>4/15*x=2/3+1/5=10/15+3/15=13/15
=>4x=13
=>x=13/4
e: x:1/7=2/3
=>x=2/3*1/7=2/21
f: 1/9:x=7/3
=>x=1/9:7/3=1/9*3/7=3/63=1/21
j: 1/4+5/12=8/3:x
=>8/3:x=3/12+5/12=8/12=2/3
=>x=4
h: =>7/4:x=1/5+1/2=7/10
=>x=7/4:7/10=10/4=5/2
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b: =>x(8-7)=-33
=>x=-33
c: =>-12x+60+21-7x=5
=>-19x=-76
hay x=4
d: =>-2x-2-x+5+2x=0
=>3-x=0
hay x=3
\(\frac{1}{2}\times x-\frac{2}{5}\times x=\frac{7}{12}\)
\(x\times\left(\frac{1}{2}-\frac{2}{5}\right)=\frac{7}{12}\)
\(x\times\frac{1}{10}=\frac{7}{12}\)
\(x=\frac{7}{12}\div\frac{1}{10}=\frac{35}{6}\)
bạn nhớ nha~~
( 1/2 - 2/5 ) * x = 7/12. | 1/10 * x = 7/12 | x = 7/12 : 1/10 | x = 35/6 | Vì không viết được xuống dòng nên mình phải viết như thế này . Nếu đúng thì nha