x\(^{^{ }2}\) + 2x -3=0
\(\Rightarrow\) x\(^2\)-x+3x -3=0
\(\Rightarrow\)x(x-1)+3(x-1)=0
=>(x-1)(x+3)=0
=>\(\left\{{}\begin{matrix}x-1=0\\x+3=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=1\\x=-3\end{matrix}\right.\)
Vậy đa thức có nghiệm là x\(\in\left\{1,-3\right\}\)
Lời giải:
\(x^2+2x-3=0\)
\(\Rightarrow x^2+2x=3\)
\(\Rightarrow x^2+2x+1=3+1=4\)
\(\Rightarrow\left(x+1\right)^2=4\)
\(\Rightarrow\left[{}\begin{matrix}x+1=2\\x+1=-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-3\end{matrix}\right.\)