Question

a)x(x-3)+5(x-3)=0 b)x^2-3x+2=0

b)x^2-3x+2=0

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Answer 1

\(\left[{}\begin{matrix}x+5=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=3\end{matrix}\right.\)

Answer 2

\(a,\Rightarrow\left(x-3\right)\left(x+5\right)=0\Rightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\\ b,\Rightarrow x^2-x-2x+2=0\\ \Rightarrow\left(x-2\right)\left(x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)

Answer 3

b)\(x^2-3x+2=0\Rightarrow\left(x-2\right)\left(x-1\right)=0\)

   \(\Rightarrow\left[{}\begin{matrix}x=2\\x=1\end{matrix}\right.\)