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a, 2x -(-17) = 15
2x + 17 = 15
2x = 15 - 17
2x =(-2)
x = (-2) : 2
x = (-1)
a) 9 - 25 = ( 7 - x ) - ( 25 + 7 )
9 - 25 = 7 - x - 25 - 7
=> 9 = 7 - x - 7
9 = 7 - 7 - x
9 = 0 - x
=> x = - 9
b) | x - 2 | + 4 = 10
| x - 2 | = 10 - 4
|x - 2 | = 6
=> x - 2 = ( - 6 ) hoặc x - 2 = 6
=> x = (- 4 ) hoặc x = 8
c) | 3.x + 9 | - 15 = 27
| 3.x + 9 | = 27 + 15
| 3.x + 9 | = 42
=> 3.x + 9 = ( - 42 ) hoặc 2.x+ 9 = 42
3.x = ( - 51 ) hoặc 3.x = 33
x = ( - 17 ) hoặc x = 11
a,9-25=(7-x)-(25+7)
-16=7-x-32
-16=(7-32)-x
-16=-25-x
\(\Rightarrow\)-25-x=-16
x =-25-16
x =-41
a)2(x - 2) + 7.(3 - x) = -2.(3x - 18)
=> 2x - 4 + 21 - 7x = -6x - 36
=> 2x - 7x + 6x = 36 - 21 + 4
=> x = 19
(x - 2)(2x - 6) = 0
=> x - 2 = 0 hoac 2x - 6 = 0
=> x = 2 hoac x = 3
vay_
(3x + 9)(1 - 3x) = 0
=> 3x + 9 = 0 hoac 1 - 3x = 0
=> x = -3 hoac x = 1/3
vay_
|2 - x| + 2 = x
=> |2 - x| = x - 2
=> 2 - x = x - 2 hoac 2 - x = 2 - x
=> -2x = -4 hoac x thuoc tap hop rong
=> x = 2
\(a,\left(x-2\right).\left(2x-6\right)=0\Leftrightarrow2\left(x-2\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=3\end{cases}}\)
\(b,\left(3x+9\right).\left(1-3x\right)=0\Leftrightarrow3\left(x+3\right).\left(1-3x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+3=0\\1-3x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=\frac{1}{3}\end{cases}}\)
\(c,\left(x^2+1\right).\left(81-x^2\right)=0\Leftrightarrow\left(x^2+1\right).\left(9-x\right).\left(9+x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}9-x=0\\9+x=0\end{cases}}\) ( vì \(x^2+1\ne0\forall x\)) \(\Leftrightarrow\orbr{\begin{cases}x=9\\x=-9\end{cases}}\)
(x−3)(x2+3x+9)−(3x−17)=x3−12(x−3)(x2+3x+9)−(3x−17)=x3−12
⇔x3−27−3x+17−x3+12=0⇔x3−27−3x+17−x3+12=0
⇔2−3x=0⇔2−3x=0
⇔3x=2⇒x=23
a: \(\Leftrightarrow6x+8⋮2x-11\)
\(\Leftrightarrow2x-11\in\left\{1;-1;41;-41\right\}\)
hay \(x\in\left\{6;5;26;-15\right\}\)
b: \(\Leftrightarrow x^2-4-5⋮x-2\)
\(\Leftrightarrow x-2\in\left\{1;-1;5;-5\right\}\)
hay \(x\in\left\{3;1;7;-3\right\}\)
c: \(\Leftrightarrow3x-6+9⋮x-2\)
\(\Leftrightarrow x-2\in\left\{1;-1;3;-3;9;-9\right\}\)
hay \(x\in\left\{3;1;5;-1;11;-7\right\}\)
\(\frac{x-2}{3x\left(x+9\right)}=2ĐK:x\ne0;-3\)
\(\Leftrightarrow\frac{x-2}{3x^2+27x}=2\Leftrightarrow x-2=6x^2+54x\)
\(\Leftrightarrow-53-2-6x^2=0\)( vô nghiệm )