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\(a,\left(7x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=32.25+200\)
\(\Leftrightarrow\left(7x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7x-11\right)^3=1000\)
\(\Leftrightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=3\)
\(b,3^2.x^2-2^2.x^2=5^5-\left(255:51\right).11\)
\(\Rightarrow x^2\left(3^2-2^2\right)=3125-5.11\)
\(\Rightarrow x^2\left(9-4\right)=3125-55\)
\(\Rightarrow5x^2=2970\)
\(\Rightarrow x^2=2970:5\)
\(\Rightarrow x^2=594\)
\(\Rightarrow x=3\sqrt{66}\)
x(24-32)=145-5
\(\Leftrightarrow\)7x=140
\(\Leftrightarrow\)x=20
5(x+35)-200=288-93
\(\Leftrightarrow\)5(x+35)=288+200-93=395
\(\Leftrightarrow\)x+35=79
\(\Leftrightarrow\)x=44
a, Lời giải
\(x\left(2^4-3^2\right)=145-5\)
\(\Leftrightarrow7x=140\)
\(\Leftrightarrow x=140:7\)
\(\Rightarrow x=20\)
b, Lời giải
\(5\left(x+35\right)-200=288-93\)
\(\Leftrightarrow5\left(x+35\right)=395\)
\(\Leftrightarrow x+35=395:5\)
\(\Leftrightarrow x+35=79\)
\(\Leftrightarrow x=79-35\)
\(\Rightarrow x=44\)
a) 23 . 22 . 24 = 23 + 2 + 4 = 29;
b) 102 . 103 . 105 = 102 + 3 + 5 = 1010
c) x . x5 = x1 + 5 = x6
d) a3 . a2 . a5 = a3 + 2 + 5 = a10
\(x^4-x=0\)
\(x\left(x^3-1\right)=0\)
\(\Rightarrow\text{ }\orbr{\begin{cases}x=0\\x^3-1=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x^3=1\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{0\text{ ; }1\right\}\)
\(x^4-x=0\)
\(x\left(x^3-1\right)=0\)
\(\Rightarrow\text{ }\orbr{\begin{cases}x=0\\x^3-1=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x^3=1\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{0\text{ ; }1\right\}\)