Question

\(^{5^{x^2+x-6}=1}\)

Answer 1

\(5^{x^2+x-6}=1\)

\(\Rightarrow5^{x^2+x-6}=5^0\)

Vì \(5\ne-1;5\ne0;5\ne1\) nên

\(x^2+x-6=0\Rightarrow x^2-2x+3x-6=0\)

\(\Rightarrow x.\left(x-3\right)+3.\left(x-2\right)=0\)

\(\Rightarrow\left(x-2\right)\left(x+3\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x-2=0\\x+3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)

Vậy..........

Chúc bạn học tốt!!!