In mathematics class, Sid learned about representing numbers as a difference of two squares. His teacher explained that some numbers can be expressed in such a way that they are in the form \(a^2 − b^2 = n\), where both \(a\) and \(b\) are whole numbers and \(n\) is the given number.
Curious to apply this idea, Sid decided to explore how different numbers can be written in this form.
He chose 84 as his starting number to begin an investigation.
Curious to apply this idea, Sid decided to explore how different numbers can be written in this form.
He chose 84 as his starting number to begin an investigation.
1. Which among the following equation expresses Sid's requirement?
2. The identity used to investigate Sid's requirement is.
3. If 84 \(= 14 \times 6\), then find the value of \(a\).
4. From the obtained value of \(a\), find the value of \(b\).