\(x^2+3x-4=0\)
\(\Leftrightarrow x^2-x+4x-4\)
\(\Leftrightarrow x\left(x-1\right)+4\left(x-1\right)\)
\(\Leftrightarrow\left(x-1\right)\left(x+4\right)\)
\(x^2-5x+4=0\)
\(\Leftrightarrow x^2-x-4x+4\)
\(\Leftrightarrow x\left(x-1\right)-4\left(x-1\right)\)
\(\Leftrightarrow\left(x-1\right)\left(x-4\right)\)
\(a,x^2+3x-4=0\)
\(\Rightarrow x^2-x+4x-4=0\)
\(\Rightarrow x\left(x-1\right)+4\left(x-1\right)=0\)
\(\Rightarrow\left(x-1\right)\left(x+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x+4=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=-4\end{cases}}\)
\(b,x^2-5x+4=0\)
\(\Rightarrow x^2-4x-x+4=0\)
\(\Rightarrow x\left(x-4\right)-\left(x-4\right)=0\)
\(\Rightarrow\left(x-4\right)\left(x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\x-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=1\end{cases}}\)
a)\(x^2+3.x-4=0\)
\(x^2+3.x=0+4\)
\(x^2+3.x=4\)
\(\Rightarrow x=1\)
