Tìm x biết:
|x| - 3 / 4 = 3 / 4 mũ 2
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a/
\(x^3-4x^2-\left(x-4\right)=0\)
\(\Leftrightarrow x^2\left(x-4\right)-\left(x-4\right)=0\)
\(\Leftrightarrow\left(x-4\right)\left(x^2-1\right)=0\)
\(\Leftrightarrow\left(x-4\right)\left(x-1\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-4=0\\x-1=0\\x+1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=1\\x=-1\end{matrix}\right.\)
b/
\(x^5-9x=0\)
\(\Leftrightarrow x\left(x^4-9\right)=x\left(x^2-3\right)\left(x^2+3\right)=0\)
\(\Leftrightarrow x\left(x-\sqrt{3}\right)\left(x+\sqrt{3}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\sqrt{3}\\x=-\sqrt{3}\end{matrix}\right.\)
c/
\(\left(x^3-x^2\right)^2-4x^2+8x-4=0\)
\(\Leftrightarrow x^4\left(x-1\right)^2-4\left(x-1\right)^2=0\)
\(\Leftrightarrow\left(x-1\right)^2\left(x^4-4\right)=0\)
\(\Leftrightarrow\left(x-1\right)^2\left(x^2-2\right)\left(x^2+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x^2-2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\pm\sqrt{2}\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
( 3x - 24 ) . 73 = 2 . 74
3x - 16 = 2 . 74 : 73 = 14
3x = 14 + 16 = 30
x = 10
\(\left(3\times x-2^4\right)\times7^3=2\times7^4\)
\(\left(3\times x-2^4\right)\div2=7^4\div7^3\)
\(\left(3\times x-16\right)\div2=7\)
\(3\times x-16=7\times2\)
\(3\times x-16=14\)
\(3\times x=14+16\)
\(3\times x=30\)
\(x=30\div3\)
\(x=10\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) \(2^x=4^3 \Leftrightarrow2^x=2^6\Leftrightarrow x=6\)
2) \(2^x=4^6\Leftrightarrow2^x=2^{12}\Leftrightarrow x=12\)
3) \(3^x=9^{10}\Leftrightarrow3^x=3^{20}\Leftrightarrow x=20\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a. x mũ 2 - 2x + 1 = 25
= x^2 + 2.x.1 + 1^2
= ( x + 1 ) ^2
ko bt có đúng ko nữa, mấy câu kia tui ko bt lm
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 3/4 + 1/4: x = -3
1/4: x = -3 - 3/4
1/4 : x = -15/4
x = 1/4 : -15/4
x = -1/15
Bài 3
a) x^3 = x^5 => x^5 - x^3 =0 => x^3( x^2 - 1 ) = 0
=> x^3(x - 1 ) ( x+ 1 )= 0
=> x^3 = 0 hoặc x - 1 = 0 hoặc x + 1 = 0
=> x = 0 hoặc x = 1 hoặc x -1
tick đúng cho mình nha
![](https://rs.olm.vn/images/avt/0.png?1311)
a)100-7.[x-5]=58
7.[x-5]=100-58=42
x-5=42:7=6
x=6+5
x=11
b)12.[x-1]:3=43+23
12 [x-1]:3=64+8
12.[x-1]:3=72
[x-1]:3=72:12=6
[x-1]=6.3=18
x=18-1
x=17
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![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 9,
62x73+36x33=36x73+36x27=36(73+27)=36x100=3600.
197-\([\)6x(5-1)2+20220\(]\):5=197-\([\)6x16+1\(]\):5=197-97:5=197-97/5=888/5.
Bài 10,
21-4x=13
=>4x=21-13=8
=>x=8:4=2.
30:(x-3)+1=45:43=42=16
=>30:(x-3)=16-1=15
=>x-3=30:15=2
=>x=2+3=5.
(x-1)3+5x6=38
=>(x-1)3+30=38
=>(x-1)3=38-30=8=23
=>x-1=2
=>x=3.
\(\left|x\right|-\dfrac{3}{4}=\left(\dfrac{3}{4}\right)^2\)
\(\left|x\right|=\left(\dfrac{3}{4}\right)^2+\dfrac{3}{4}=\dfrac{21}{16}\)
\(\left[{}\begin{matrix}x=\dfrac{21}{16}\\x=-\dfrac{21}{16}\end{matrix}\right.\)