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a,\(9x^2-72x=0\)
\(9x\left(x-8\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}9x=0\\x-8=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)
Vậy...
a
\(9x^2-72x=0\\ \Leftrightarrow9x\left(x-8\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)
b)
\(\left(16-4x\right)\left(x+3\right)-\left(x+1\right)\left(4-4x\right)=40\\ \Leftrightarrow\left(16x+48-4x^2-12x\right)-\left(4x-4x^2+4-4x\right)=40\\ \Leftrightarrow4x+44=40\\ \Leftrightarrow x=-1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(4\left(x+3\right)\left(3x-2\right)-3\left(x-1\right)\left(4x-1\right)=16\)
\(\Leftrightarrow4\left(3x^2-2x+9x-6\right)-3\left(4x^2-x-4x+1\right)=16\)
\(\Leftrightarrow12x^2+28x-24-12x^2+15x-3=16\)
\(\Leftrightarrow x=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left(x-3\right)^2-4=0\)
\(\left(x-3\right)^2=0+4\)
\(\left(x-3\right)^2=4\)
\(\left(x-3\right)^2=\pm4\)
\(\left(x-3\right)^2=\pm2^2\)
\(\orbr{\begin{cases}x-3=2\\x-3=-2\end{cases}}\)
\(\orbr{\begin{cases}x=5\\x=1\end{cases}}\)
b) \(\left(2x+3\right)^2-\left(2x+1\right)\left(2x-1\right)=22\)
\(4x^2+12x+9-4x^2+1=22\)
\(12x+10=22\)
\(12x=22-10\)
\(12x=12\)
\(x=1\)
c) \(\left(4x+3\right)\left(4x-3\right)-\left(4x-5\right)^2=16\)
\(16x^2-9-16x^2+40x-25=16\)
\(-34+40x=16\)
\(40x=16+34\)
\(40x=50\)
\(x=\frac{50}{40}=\frac{5}{4}\)
d) \(x^3-9x^2+27x-27=-8\)
\(x^3-9x^2+27x-27+8=0\)
\(x^3-9x^2+27x-19=0\)
\(\left(x^2-8x+19\right)\left(x-1\right)=0\)
Vì \(\left(x^2-8x+19\right)>0\) nên:
\(x-1=0\)
\(x=1\)
e) \(\left(x+1\right)^3-x^2\left(x+3\right)=2\)
\(x^3+2x^2+x+x^2+2x+1-x^2-3x^2=2\)
\(3x+1=2\)
\(3x=2-1\)
\(3x=1\)
\(x=\frac{1}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2:
=>x^3-1-2x^3-4x^6+4x^6+4x=6
=>-x^3+4x-7=0
=>x=-2,59
4: =>8x-24x^2+2-6x+24x^2-60x-4x+10=-50
=>-62x+12=-50
=>x=1
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Thực hiện rút gọn VT = -2x – 64
Giải phương trình -2x – 64 = 0 thu được x = -32.
b) Thực hiện rút gọn VT = -62 x +12
Giải phương trình -62x + 12 = -50 thu được x = 1.
(16-4x).(x+3)-(x+1).(3-4x)=40
=>16x-4x^2+48-12x-3x-3+4x^2+4x=40
=>x=40-48+3
=>x=-5
(16-4x).(x+3)-(x+1).(3-4x)=40
=>16x-4x^2+48-12x-3x-3+4x^2+4x=40
=>5x=40-48+3
=>5x=-5
=>x=-1
câu x=-5 sai .-.