\(5^{x^2+x-6}=1\)
\(\Rightarrow5^{x^2+x-6}=5^0\)
Vì \(5\ne-1;5\ne0;5\ne1\) nên
\(x^2+x-6=0\)
\(\Rightarrow x^2-2x+3x-6=0\)
\(\Rightarrow x.\left(x-2\right)+3.\left(x-2\right)=0\)
\(\Rightarrow\left(x-2\right).\left(x+3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-2=0\\x+3=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
Vậy...........
Chúc bạn học tốt!!!
\(5^{x^2+x-6}=1\)
\(5^{x^2+x-6}=5^0\)
\(\Rightarrow x^2+x-6=0\)
\(x^2+3x-2x-6=0\)
\(x\left(x+3\right)-2\left(x+3\right)=0\)
\(\left(x-2\right)\left(x+3\right)=0\)
\(x-2=0\Rightarrow x=2\)
\(x+3=0\Rightarrow x=-3\)
