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\(\left(3x-2\right)^2=256\)
\(\left(3x-2\right)^2=16^2\)
\(\Rightarrow3x-2=16\)
\(3x=16+2\)
\(3x=18\)
\(x=18:3\)
\(x=6\)
Vậy .....
Chúc bạn học tốt !
\(\left(x+2\right)^3-3\left(x-1\right)=\left(x-1\right)^3-2x\left(1-3x\right)\)
\(x^2+4x+4-3x+3=x^3-3x^2+3x-1-2x+6x^2\)
\(x^2+x+7=x^3+3x^2+x-1\)
\(x^3+3x^2+x-1-x^2-x-7=0\)
\(x^3+2x^2-8=0\)
Đề bài có sai ko bn
câu đầu bạn dưới làm rồi nên mình k làm lại
(2x+9)2=0
=> 2x+9=0
=> 2x=-9
=> x=-9/2
(2x-1)3=8
=> 2x-1=2
=> 2x=3
=> x=3/2
(1-3x)2=16
=> 1-3x=4
=> 3x=-3
=> x=-1
(3x+1)+1=-26
=> 3x=-27
=> x=-9
(x+1)+(x+3)+(x+5)+...+(x+2017)=0
(x+x+x+...+x)+(1+3+5+...+2017)=0
=> 1009x+1018081=0
1009x=-1018081
=> x=-1009
\(a,\left(1+3x\right)^4=256\)
\(\left(1+3x\right)^4=4^4\)
\(\Rightarrow\orbr{\begin{cases}1+3x=4\\1+3x=-4\end{cases}}\Rightarrow\orbr{\begin{cases}3x=3\\3x=-5\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{-5}{3}\end{cases}}\)
\(b,720:\left(x-140\right)=3^3-2^3.4\)
\(720:\left(x-140\right)=-5\)
\(x-140=720:\left(-5\right)\)
\(x-140=-144\)
\(x=-4\)
\(c,16^x.4^3=512\)
\(\left(2^4\right)^x=8\)
\(2^{4x}=2^3\)
\(\Rightarrow4x=3\)
\(\Rightarrow x=\frac{3}{4}\)
\(d,\left(2x-1\right)^4=81\)
\(\left(2x-1\right)^4=3^4\)
\(\Rightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\Rightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
Bài làm :
\(1\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(1+3x\right)^4=4^4\Leftrightarrow1+3x=4\Leftrightarrow3x=3\Leftrightarrow x=1\\\left(1+3x\right)^4=\left(-4\right)^4\Leftrightarrow1+3x=-4\Leftrightarrow3x=-5\Leftrightarrow x=-\frac{5}{3}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1\\x=-\frac{5}{3}\end{cases}}\)
\(2\text{)}...\Leftrightarrow720\div\left(x-140\right)=-5\Leftrightarrow x-140=-144\Leftrightarrow x=-4\)
\(3\text{)}...\Leftrightarrow\left(2^4\right)^x.\left(2^2\right)^3=2^9\Leftrightarrow2^{4x}.2^6=2^9\Leftrightarrow2^{4x}=2^3\Leftrightarrow4x=3\Leftrightarrow x=\frac{3}{4}\)
\(4\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(2x-1\right)^4=3^4\Leftrightarrow2x-1=3\Leftrightarrow2x=4\Leftrightarrow x=2\\\left(2x-1\right)^4=\left(-3\right)^4\Leftrightarrow2x-1=-3\Leftrightarrow2x=-2\Leftrightarrow x=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
a,\(\frac{1}{3}x=-2-\frac{2}{3}=\frac{-8}{3}\)
\(x=\frac{-8}{3}:\frac{1}{3}=\frac{-8}{3}.\frac{3}{1}=-8\)
\(b,\left[x+\frac{1}{1}\right]^2+\frac{5}{6}=\frac{7}{8}\)
\(\Rightarrow\left[x+1\right]^2=\frac{7}{8}-\frac{5}{6}\)
\(\Rightarrow\left[x+1\right]^2=\frac{7\cdot3}{24}-\frac{5\cdot4}{24}\)
\(\Rightarrow\left[x+1\right]^2=\frac{21}{24}-\frac{20}{24}\)
\(\Rightarrow\left[x+1\right]^2=\frac{1}{24}\)
\(\Rightarrow x\in\left\{\varnothing\right\}\)
Bài làm :
\(1\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(1+3x\right)^4=4^4\Leftrightarrow1+3x=4\Leftrightarrow3x=3\Leftrightarrow x=1\\\left(1+3x\right)^4=\left(-4\right)^4\Leftrightarrow1+3x=-4\Leftrightarrow3x=-5\Leftrightarrow x=-\frac{5}{3}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1\\x=-\frac{5}{3}\end{cases}}\)
\(2\text{)}...\Leftrightarrow720\div\left(x-140\right)=-5\Leftrightarrow x-140=-144\Leftrightarrow x=-4\)
\(3\text{)}...\Leftrightarrow\left(2^4\right)^x.\left(2^2\right)^3=2^9\Leftrightarrow2^{4x}.2^6=2^9\Leftrightarrow2^{4x}=2^3\Leftrightarrow4x=3\Leftrightarrow x=\frac{3}{4}\)
\(4\text{)}...\Leftrightarrow\orbr{\begin{cases}\left(2x-1\right)^4=3^4\Leftrightarrow2x-1=3\Leftrightarrow2x=4\Leftrightarrow x=2\\\left(2x-1\right)^4=\left(-3\right)^4\Leftrightarrow2x-1=-3\Leftrightarrow2x=-2\Leftrightarrow x=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
\(15-2\left(3x+1\right)=9^2\cdot4^2\cdot5\)
\(=15-2\left(3x+1\right)=6480\)
\(\Rightarrow2\left(3x+1\right)=15-6480=-6465\)
\(\Rightarrow3x+1=-6465:2=-3232,5\)
\(\Rightarrow3x=-3232,5-1=-3233,5\)
\(\Rightarrow x=-3233,5:3=\frac{-6467}{6}=-1077,833333\)
a) Ta có
43x=39.43-37.43
43x=43.(39-37)
43x=43x2
=>x=2
b) ta có
3x-136=2^3.3^2+2^2.5
3x-136=8.9+4.5
3x-136=72+20
3x-136=92
3x=228
x=76
a) 43x = 39.43 - 37.43
=> 43x = 43 . (39 - 37)
=> 43x = 43 . 2
=> x = 43 : 43 . 2
=> x = 1 . 2
Vậy x = 2
x nằm chỗ nào trong đề em?
23\(x+1\).23\(x+1\) = 256
2\(3x+1+3x+1\) = 28
26\(x+2\) = 28
6\(x\) + 2 = 8
6\(x\) = 8 - 2
6\(x\) = 6
\(x\) = 6: 6
\(x\) = 1