Question

Find the value of x if $5x=\frac{176\times 176-124\times 124}{176-124}$

Answer 1

Dear student,

$$\begin{gathered} Wehave, \\ 5x=\frac{176\times 176-124\times 124}{176-124} \\ \Rightarrow 5x=\frac{{\left(176\right)}^2-{\left(124\right)}^2}{\left(176-124\right)} \\ \Rightarrow 5x=\frac{\left(176+124\right)\times \cancel{\left(176-124\right)}}{\cancel{\left(176-124\right)}}...[u\sin g{a}^2-b^2=\left(a+b\right)\times \left(a-b\right)] \\ \Rightarrow 5x=300 \\ \Rightarrow x=\frac{300}{5} \\ \Rightarrow \boxed{x=60} \end{gathered}$$

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