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Home / Doubts and Solutions/JEE/Mathematics

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Asked by Anish 4th September 2018, 3:29 PM
Answered by Expert
Answer:
begin mathsize 16px style Solving space the space quadratic space equation space we space get left parenthesis negative 2 straight a squared straight b minus ab squared right parenthesis straight x squared minus left parenthesis ab squared minus straight a squared straight b right parenthesis straight x plus straight a squared straight b plus 2 ab squared equals 0 Let space straight alpha space and space straight beta space are space the space roots space of space the space equation. straight alpha plus straight beta equals fraction numerator ab squared minus straight a squared straight b over denominator negative 2 straight a squared straight b minus ab squared end fraction equals fraction numerator straight b minus straight a over denominator straight b minus 2 straight a end fraction αβ equals fraction numerator straight a squared straight b plus 2 ab squared over denominator negative 2 straight a squared straight b minus ab end fraction Also space straight alpha equals 2 straight beta Solving space these space further space simultaneously space we space get space the space condition space for space straight alpha space and space straight beta. end style
Answered by Expert 5th September 2018, 10:59 AM
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