Question

solve the quadratic equation method 49x² = 36 by factorization method.

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{quadratic}\mathrm{equation}\mathrm{is}, \\ 49{\mathrm{x}}^2=36 \\ \Rightarrow 49{\mathrm{x}}^2-36=0 \\ \Rightarrow {\left(7\mathrm{x}\right)}^2-{\left(6\right)}^2=0 \\ \Rightarrow \left(7\mathrm{x}+6\right)\left(7\mathrm{x}-6\right)=0\left[\mathbf{as}\mathbf{,}\mathbf{}{\mathbf{a}}^{\mathbf{2}}\mathbf{}\mathbf{-}\mathbf{}{\mathbf{b}}^{\mathbf{2}}\mathbf{}\mathbf{=}\mathbf{}\left(\mathbf{a}\mathbf{}\mathbf{+}\mathbf{}\mathbf{b}\right)\left(\mathbf{a}\mathbf{}\mathbf{-}\mathbf{}\mathbf{b}\right)\right] \\ \Rightarrow 7\mathrm{x}+6=0\mathrm{or}7\mathrm{x}-6=0 \\ \Rightarrow \mathrm{x}=-\frac{6}{7}\mathrm{or}\mathrm{x}=\frac{6}{7} \end{gathered}$$