a) ( x - 5 )2 - 18 = 46
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b) 215 ( x + 3 ) = 218 - 217
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a) \(\left(x-5\right)^2-18=46\)
\(\left(x-5\right)^2=46+18\)
\(\left(x-5\right)^2=64\)
\(\Rightarrow\left(x-5\right)^2=8^2\)hoặc \(\left(x-5\right)^2=\left(-8\right)^2\)
\(x-5=8\) \(x-5=-8\)
\(x=8+5=13\) \(x=-8+5=-3\)
Vậy \(x=13\)hoặc \(x=-3\)
a)\(\left(x-5\right)^2-18=46\Rightarrow\left(x-5\right)^2=64\)
\(\Rightarrow\orbr{\begin{cases}x-5=8\\x-5=-8\end{cases}\Rightarrow\orbr{\begin{cases}x=13\\x=-3\end{cases}}}\)
b)\(2^{15}\left(x+3\right)=2^{18}-2^{17}\Rightarrow2^{15}\left(x+3\right)=2^{17}\left(2-1\right)=2^{17}\)
\(\Rightarrow x+3=2^{17}:2^{15}=2^{17-15}=2^2\Rightarrow x=1\)