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e)\(\left(x-5\right)^5=32\)
\(\left(x-5\right)^5=2^5\)
\(\Rightarrow x-5=2\)
\(\Rightarrow x=7\)
f)\(\left(2-x\right)^4=81\)
\(\left(2-x\right)^4=3^4\)
\(\Rightarrow2-x=3\)
\(\Rightarrow x=-1\)
\(\left(x-1\right)x\left(x+3\right)=0\)
khi ít nhất:1 trong 3 thừa số trên là: 0
dễ thấy chỉ có thể có 1 số bằng 0 và 2 số còn lại khác 0
+) x-1=0=>x=1
+)x+3=0=>x=-3
TH còn lại là: x=0
Vậy: x E {0;-3;1}
b)c)d) tt
\(a,\left(x-1\right).\left(x+3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\x+3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=1\\x=-3\end{cases}}\)
\(b,\left(x^2-1\right).\left(x^2-81\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)\left(x-9\right)\left(x+9\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{x-1=0}{x+1=0}\\\frac{x-9=0}{x+9=0}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\frac{x=1}{x=-1}\\\frac{x=9}{x=-9}\end{cases}}\)
\(c,\left(x^2+1\right)\left(x^2-125\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x^2+1=0\\x^2-125=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x^2=1\left(voly\right)\\x^2=125\end{cases}}\)
\(\Leftrightarrow x=5\sqrt{5}\)
\(d,\left(x-5\right)^2=36\Leftrightarrow x-5=\pm6\Leftrightarrow x=-1;11\)
a/ ( x - 1 )4 = 81
( x - 1)4 = 34
=> x - 1 = 3
x = 3 + 1
x = 4
b/ ( 3x - 2 )2 = 1
( 3x - 2)2 = 12
=> 3x - 2 = 1
3x = 1 + 2
3x = 3
x = 3 : 3
x = 1
c/ ( x - 1 )5 = -32
( x - 1 )5 = (-2)5
=> x - 1 = -2
x = -2 + 1
x = -1
d/ ( 2x - 3 )3 = 125
( 2x - 3 )3 = 53
=> 2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8 : 2
x = 4
k nha bn !!!!
\(\left(x-1\right)^4=81\)
\(\Rightarrow\left(x-1\right)=3\)
\(\Rightarrow x=4\)
\(\left(3x-2\right)^2=1\)
\(\Rightarrow\orbr{\begin{cases}3x-2=-1\\3x-2=1\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=1\end{cases}}}\)
a) 5x = 125
5x = 53
=> x = 3
b) ( mình bó tay )
c) 52x-3 - 2.52 = 52 .3
52x-3 - 50 = 75
52x-3 = 75 + 50
52x-3 = 125
52x-3 = 53
2x-3 = 3
2x = 3+3
2x = 6
x = 6 : 2
x = 3
a,\(\left(x^2+1\right)\left(81-x^2\right)=0\)
\(< =>\orbr{\begin{cases}x^2+1=0\\81-x^2=0\end{cases}}\)
\(< =>81=x^2< =>x=\pm9\)
b,\(\left(x-5\right)^5=32=2^5\)
\(< =>x-5=2< =>x=7\)
\(\left(x^2+1\right).\left(81-x^2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x^2+1=0\\81-x^2=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x^2=-1\left(VL\right)\\x^2=81=\left(\pm9\right)^2\end{cases}}\)
\(\Leftrightarrow x=\pm9\)
Vậy \(x=\pm9\)
\(\left(x-5\right)^5=32=2^5\)
\(\Leftrightarrow x-5=2\)
\(\Leftrightarrow x=7\)
Vậy \(x=7\)
a) (x2 + 1)(81 - x2) = 0
=> \(\orbr{\begin{cases}x^2+1=0\\81-x^2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x^2=-1\left(\text{loại}\right)\\x^2=81\end{cases}\Rightarrow x^2=81\Rightarrow x=\pm9}\)
b) (x - 5)5 = 32
=> (x - 5)5 = 25
=> x - 5 = 2
=> x = 7
Tìm x
\(\left(x^2+1\right)\left(81-x^2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x^2+1=0\\81-x^2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x^2=-1\\x^2=81\end{cases}}\Rightarrow\orbr{\begin{cases}x\in\varnothing\\x=\pm9\end{cases}}\Rightarrow x=\pm9\)
Vậy \(x=\pm9\).
\(\left(x-5\right)^5=32\)
\(\left(x-5\right)^5=2^5\)
\(\Rightarrow x-5=2\)
\(\Rightarrow x=7\)
Vậy \(x=7\)
\(\left(x^2+1\right)\left(81-x^2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x^2+1=0\\81-x^2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x^2=-1\left(loai\right)\\x^2=81\end{cases}}\Rightarrow x=\pm9\)
( x - 5 )5 = 32
=> ( x - 5 )5 = 25
=> x - 5 = 2
=> x = 7