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Find the Third Proportional to a - B And `A^2 - B^2` - ICSE Class 10 - Mathematics

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Question

Find the third proportional to a - b and `a^2 - b^2`

Solution

Let the third proportional to a - b and `a^2 - b^2` be x

=> a - b, `a^2 - b^2,` x are in continued proportion

`=> a - b : a^2 - b^2 = a^2 - b^2 : x`

`=> (a - b)/(a^2 - b^2) = (a^2 - b^2)/x`

`=> x = (a^2 - b^2)^2/(a - b)`

`=> x = ((a + b)(a - b)(a^2 - b^2))/(a - b)`

`=> x = (a + b)(a^2 - b^2)`

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APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7B | Q: 2.2

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Solution Find the Third Proportional to a - B And `A^2 - B^2` Concept: Ratios.
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