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Find the Mean Proportional Between a - B And A^3 - A^2b - Mathematics

Sum

Find the mean proportional between `a - b and a^3 - a^2b`

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Solution

Let the mean proportional between a – b and a3 – a2b be x.
⇒ a – b, x, a3 – a2b are in continued proportion.
⇒ a – b : x = x : a3 – a2b
⇒ x × x = (a – b) (a3 – a2b)
⇒ x2 = (a – b) a2(a – b) = [a(a – b)]2
⇒ x = a(a – b)

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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (B) | Q 3.2 | Page 94
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