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Find the third proportional to (x2 – y2) and (x + y) . |
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Answer» Let the third proportional to (x2 – y2) and (x + y) be A. Then (x2 – y2) : (x + y) : : (x + y) : A ⇒ (x2 – y2) x A = (x + y)2 ⇒ A = \(\frac{(x+y)^2}{x^2-y^2}\) ⇒ A = \(\frac{(x+y)^2}{(x+y)(x-y)}\) = \(\frac{x+y}{x-y}.\) |
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