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a: (x^2+9)(9x^2-1)=0
=>9x^2-1=0
=>x^2=1/9
=>x=1/3 hoặc x=-1/3
b: (4x^2-9)(2^(x-1)-1)=0
=>4x^2-9=0 hoặc 2^(x-1)-1=0
=>x^2=9/4 hoặc x-1=0
=>x=1;x=3/2;x=-3/2
c: (3x+2)(9-x^2)=0
=>(3x+2)(3-x)(3+x)=0
=>\(\left[{}\begin{matrix}3x+2=0\\3-x=0\\3+x=0\end{matrix}\right.\Leftrightarrow x\in\left\{-\dfrac{2}{3};3;-3\right\}\)
d: (3x+3)^2(4x-4^2)=0
=>3x+3=0 hoặc 4x-16=0
=>x=4 hoặc x=-1
e: \(2^{\left(x-5\right)\left(x+2\right)}=1\)
=>(x-5)(x+2)=0
=>x-5=0 hoặc x+2=0
=>x=5 hoặc x=-2
![](https://rs.olm.vn/images/avt/0.png?1311)
a, Do X × ( X - 2012 ) = 0
=>\(\left\{{}\begin{matrix}x=0\\x-2012=0=>x=0+2012=2012\end{matrix}\right.\)
Vậy x∈{0;2012}
b, Do ( 9X + 1017) ( 2X - 2014 ) = 0
=>\(\left\{{}\begin{matrix}9x+1017=0=>9x=0+1017=1017=>x=1017:9=113\\2x-2014=0=>2x=0+2014=2014=>x=2014:2=1007\end{matrix}\right.\)
Vậy x ∈{113;1007}
c, 3x(x+15)=1
=>x(x+15)=0
=>\(\left\{{}\begin{matrix}x=0\\x+15=0=>x=-15\end{matrix}\right.\)
Vậy x ∈ {0;-15}
d, X² - 15X + 14 = 0
=>x2-x-14x+14=0
=>x.(x-1)-14.(x-1)=0
=>(x-1).(x-14)=0
=>\(\left\{{}\begin{matrix}x-1=0=>x=1\\x-14=0=>x=14\end{matrix}\right.\)
Vậy x ∈ {1;14}
e,x4-x2=0
=>x4=x2
=>x=1;0
Vậy x ∈ {1;0}
g, X⁴ - 5X < 0
=>x4<5x
mà không có trường hợp nào như vậy cả
=>x∈∅
![](https://rs.olm.vn/images/avt/0.png?1311)
49 (6x-12 ) = 0 17 (15x-45) =0 105 ( 17x-34 ) = 0 57 ( 9x -27 ) = 0
6x -12 = 0 15x -45 = 0 17x - 34 = 0 9x - 27 = 0
6x = 12 15x = 45 17x = 34 9x = 27
x = 2 x =3 x = 2 x = 3
25 + ( 15 - x ) =30 3 ( x + 7 ) -15 =27
15 - x = 25 3 ( x + 7 ) = 42 ( k cho mình nhé )
x = -10 x + 7 = 14
x = 7
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(9x+1\right)\left(5+2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}9x+1=0\\5+2x+0\end{cases}\Leftrightarrow\orbr{\begin{cases}9x=-1\\2x=-5\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{-1}{9}\\x=\frac{-5}{2}\end{cases}}}\)
Vậy x = -1/9 hoặc x = -5/2
\(\left(9x+1\right)\left(5+2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}9x+1=0\\5+2x=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{9}\\x=-\frac{5}{2}\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,-12\left(x-5\right)+7\left(3-x\right)=5\)
\(-12x+60+21-7x=5\)
\(-12x-7x=5-60-21\)
\(-19x=-76\Leftrightarrow x=4\)
\(b,30\left(x+2\right)-6\left(x-5\right)-24x=100\)
\(30x+60-6x+30-24x=100\)
\(30x-6x-24x=100-60-30\)
\(0x=10\left(vl\right)\)
Vậy pt vô nghiệm
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : 7(x - 1) + 2x(x - 1) = 0
<=> (2x + 7)(x - 1) = 0
\(\Leftrightarrow\orbr{\begin{cases}2x+7=0\\x-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=-7\\x=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-\frac{7}{2}\\x=1\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 7\(x\).(2\(x\) + 10) = 0
\(\left[{}\begin{matrix}x=0\\2x+10=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\2x=-10\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\x=-10:2\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\)
Vậy \(x\in\){-5; 0}
b, - 9\(x\) : (2\(x\) - 10) = 0
- 9\(x\) = 0
\(x\) = 0
c, (4 - \(x\)).(\(x\) + 3) = 0
\(\left[{}\begin{matrix}4-x=0\\x+3=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=4\\x=-3\end{matrix}\right.\)
Vậy \(x\in\) {-3; 4}
d, (\(x\) + 2023).(\(x\) - 2024) = 0
\(\left[{}\begin{matrix}x+2023=0\\x-2024=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-2023\\x=2024\end{matrix}\right.\)
Vậy \(x\) \(\in\) {-2023; 2024}
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\text{a) x. (x + 2)= 0}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x+2=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)
vậy_____
\(d.\left(x-5\right)\left(x^2+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-5=0\\x^2+1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=5\\x\in\varnothing\end{cases}}\)
Mình làm mẫu câu a còn các câu khác tương tự nha
a, x.(x+2) = 0
=> x=0 hoặc x+2=0
=> x=0 hoặc x=-2
Vậy x thuộc {-2;0}
Tk mk nha
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 7\(x\).(2\(x\) + 10) =0
\(\left[{}\begin{matrix}x=0\\2x+10=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\2x=-10\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\)
Vậy \(x\in\) {-5; 0}
b, -9\(x\) : (2\(x\) - 10) = 0
9\(x\) = 0
\(x\) = 0
c, (4 - \(x\)).(\(x\) + 3) = 0
\(\left[{}\begin{matrix}4-x=0\\x+3=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=4\\x=-3\end{matrix}\right.\)
Vậy \(x\in\) {-3; 4}
3x2+9x=0 --> 3x(x+3)=0 --> 3x=0 hoặc x+3=0
--> x=0 hoặc x =-3
\(\dfrac{1}{4}\)x2-\(\dfrac{1}{2}\)x=0-->\(\dfrac{1}{2}\)x(\(\dfrac{1}{2}\)x-1)=0--> x=o hoặc x=2
32x2+24x=0-->8x(4x+3)=0 --> x=0 hoặc x=-3/4
25x2-15x=0 -->5x(5x-3)=0 --> x=0 hoặc x=3/5