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g. \(\left(x+\frac{1}{2}\right)\left(\frac{2}{3}-2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=\frac{1}{3}\end{cases}}\)
Vậy \(x\in\left\{\frac{-1}{2};\frac{1}{3}\right\}\)
f. \(\frac{2}{3}x-\frac{1}{2}x=\frac{5}{12}\)
\(\Leftrightarrow x\left(\frac{2}{3}-\frac{1}{2}\right)=\frac{5}{12}\)
\(\Leftrightarrow x\left(\frac{4}{6}-\frac{3}{6}\right)=\frac{5}{12}\)
\(\Leftrightarrow\frac{1}{6}x=\frac{5}{12}\)
\(\Leftrightarrow x=\frac{5}{12}\div\frac{1}{6}\)
\(\Leftrightarrow x=\frac{30}{12}=\frac{5}{2}\)
1/4 + 1/3 : (2x - 1) = -5
=> 1/3 : (2x - 1) = -21/4
=> 2x - 1 = -63/4
=> 2x = -59/4
=> x = -59/8
\(\frac{1}{4}+\frac{1}{3}:\left(2x-1\right)=-5\)
\(\frac{1}{3}:\left(2x-1\right)=\left(-5\right)-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=\frac{-21}{4}\)
\(2x-1=\frac{1}{3}:\frac{-21}{4}\)
\(2x-1=\frac{-4}{63}\)
\(2x=\frac{-4}{63}+1\)
\(2x=\frac{59}{63}\)
\(x=\frac{59}{63}:2\)
\(x=\frac{59}{126}\)
a ) 1/3x + 2/5 ( x - 1 ) = 0
1/3x + 2/5x - 2/5 = 0
x . ( 1/3 + 2/5 ) = 2/5
x . 11/15 = 2/5
=> x = 6/11
Vậy x = 6/11
\(\frac{x}{2}-\frac{11}{5}=\frac{7}{5}.\frac{64}{49}\)
\(\frac{x}{2}-\frac{11}{5}=\frac{64}{35}\)
\(\frac{x}{2}=\frac{64}{35}+\frac{11}{5}\)
\(\frac{x}{2}=\frac{141}{35}\)
\(\Leftrightarrow x.35=2.141\)
\(\Leftrightarrow x.35=282\)
\(\Leftrightarrow x=282:35\)
\(\Leftrightarrow x=\frac{282}{35}\)
x/2 - 11/5 = 7/5.64/49
=> x/2 - 11/5 = 64/35
=> x/2 = 64/35 + 11/5
=> x/2 = 141/35
=> 35x = 2.141
=> 35x = 282
=> x = 282 : 35 = 282/35
\(\left(\frac{14}{5}x-50\right)\div\frac{2}{3}=51\)
\(\Leftrightarrow\frac{14}{5}x-50=51\times\frac{2}{3}\)
\(\Leftrightarrow\frac{14}{5}x-50=34\)
\(\Leftrightarrow\frac{14}{5}x=34+50\)
\(\Leftrightarrow\frac{14}{5}x=84\)
\(\Leftrightarrow x=84\div\frac{14}{5}\)
\(\Leftrightarrow x=84\times\frac{5}{14}\)
\(\Leftrightarrow x=30\)
\(\left(\frac{14}{5}.x-50\right):\frac{2}{3}=51\)
\(\frac{14}{5}.x-50=51.\frac{2}{3}\)
\(\frac{14}{5}.x-50=34\)
\(\frac{14}{5}.x=34+50\)
\(\frac{14}{5}.x=84\)
\(x=84:\frac{14}{5}\)
\(x=30\)
a) 2. |1/2-1/3| - 3/2 =1/4 b)3/4-2.|2x-3/2|=2
2.|1/2-1/3|=1/4+3/2 2|2x-3/2|=3/4-2
2.|1/2-1/3|=2/8+12/8 2|2x-3/2|=-5/4
2.|1/2x-1/3|=14/8 |2x-3/2|=-5/4:2
|1/2x-1/3|=14/8:2 |2x-3/2|=-5/8
1/2x-1/3=14/8.2/1 x-3/2=-5/8:2
1/2x-1/3=14/4 x-3/2=-5/16
x-1/3=14/4:1/2 x=-5/16+3/2
x-1/3=14/4.2 x=19/16
x-1/3=7 => x= 19/16 hoặc -19/16
x=7+1/3
x=21/3+1/3
x=22/3
=>x= 22/3 hoăc -22/3
c
1/ a) \(x^2-x-1⋮x-1\)
=>\(x.\left(x-1\right)-1⋮x-1\)
=>\(-1⋮x-1\)(vì x.(x-1)\(⋮\)x-1)
=>x-1\(\inƯ\left(-1\right)\)
Đến đay tự làm
b/c/d/e/ tương tự
-5 x ( x + 1/5 ) - 1/2 x ( x - 2/3 ) = 3/2x - 5/6
<=> -5x^2 - x - 1/2 x^2 + 1/3 = 3/2x - 5/6
<=> -3x^2 - x + 1/3 = 3/2x - 5/6
<=> -3x^2 - 5/2 x + 7/6 = 0
<=> ( 3x - 1 ) ( 6x + 7 ) = 0
=> x = 1/3 ; x = -7/6 .
Vậy x = 1/3 , x = -7/6.