Question

simplify the following equation and identify whether this equation is quadratic or not : (x-2)(x+2)=12.

Answer 1

$$\begin{gathered} \left(\mathrm{x}-2\right)\left(\mathrm{x}+2\right)=12 \\ \Rightarrow \mathrm{x}\left(\mathrm{x}+2\right)-2\left(\mathrm{x}+2\right)=12 \\ \Rightarrow {\mathrm{x}}^2+2\mathrm{x}-2\mathrm{x}-4=12 \\ \Rightarrow {\mathrm{x}}^2-4=12 \\ \Rightarrow {\mathrm{x}}^2-16=0 \\ \mathrm{The}\mathrm{above}\mathrm{equation}\mathrm{is}\mathrm{of}\mathrm{the}\mathrm{form}\mathrm{of}{\mathrm{ax}}^2+\mathrm{bx}+\mathrm{c}=0,\mathrm{where}\mathrm{a},\mathrm{b}\mathrm{and}\mathrm{c}\mathrm{are}\mathrm{realand}\mathrm{a}\ne 0. \\ \mathrm{Hence},\mathrm{the}\mathrm{above}\mathrm{equation}\mathrm{is}\mathrm{a}\mathrm{quadratic}\mathrm{equation}. \end{gathered}$$