Question

(a/b+ b/a)and √a^2+b^2 find third proportion​

Answer 1

Answer:

Solution

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Let’s take the third proportional to a – b and a

2

–b

2

be x

So, a–b,a

2

–b

2

, x are in continued proportion

$$a – b: a^2 – b^2 = a^2 – b^2: x$$

a

2

−b

2

a−b

=

x

a

2

−b

2

x=

a−b

(a

2

−b

2

)

2

x=

a−b

(a+b)(a−b)(a

2

−b

2

)

x=(a+b)(a

2

−b

2

)

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