Question

Find the roots of the foll quadratic equation (x+3)(x-1)=3(x-1/3)

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{quadratic}\mathrm{equation}\mathrm{is}, \\ \left(x+3\right)\left(x-1\right)=3\left(x-\frac{1}{3}\right) \\ \Rightarrow x^2+2x-3=3x-1 \\ \Rightarrow x^2-x-2==0 \\ \Rightarrow x^2-2x+x-2=0 \\ \Rightarrow x\left(x-2\right)+1\left(x-2\right)=0 \\ \Rightarrow \left(x+1\right)\left(x-2\right)=0 \\ \Rightarrow x+1=0\mathrm{or}x-2=0 \\ \Rightarrow x=-1\mathrm{or}x=2 \end{gathered}$$