Question

5. $If4x=(56{)}^2-(52{)}^2,findthevalueofx$

Answer 1

Dear student
$$\begin{gathered} 5. \\ \mathrm{Given}:4\mathrm{x}={\left(56\right)}^2-{\left(52\right)}^2 \\ \mathrm{using}\mathrm{the}\mathrm{identity}:\left(\mathrm{a}+\mathrm{b}\right)\left(\mathrm{a}-\mathrm{b}\right)={\mathrm{a}}^2-{\mathrm{b}}^2 \\ \Rightarrow 4\mathrm{x}=\left(56-52\right)\left(56+52\right) \\ \Rightarrow 4\mathrm{x}=4\times 108 \\ \Rightarrow \boxed{\mathbf{x}\mathbf{=}\mathbf{108}} \end{gathered}$$
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