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CBSE Class 10 Answered

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Asked by sucharitasahoo1 | 27 Mar, 2018, 04:06: AM
answered-by-expert Expert Answer
begin mathsize 16px style px squared plus qx plus straight q equals 0 Ratio space of space roots equals straight a over straight b Let space roots space of space the space given space quadratic space equations space be space straight x subscript 1 space and space straight x subscript 2 rightwards double arrow straight x subscript 1 over straight x subscript 2 equals straight a over straight b straight x subscript 1 plus straight x subscript 2 equals fraction numerator negative straight q over denominator straight p end fraction..... left parenthesis straight i right parenthesis straight x subscript 1 times straight x subscript 2 equals straight q over straight p...... left parenthesis ii right parenthesis straight x subscript 1 plus straight x subscript 2 plus straight x subscript 1 times straight x subscript 2 equals 0 space space space space space space space space space space space space space from space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis Given comma square root of straight a over straight b end root plus square root of straight b over straight a end root plus square root of straight p over straight q end root space equals square root of straight x subscript 1 over straight x subscript 2 end root plus square root of straight x subscript 2 over straight x subscript 1 end root plus square root of straight p over straight q end root equals fraction numerator straight x subscript 1 plus straight x subscript 2 over denominator square root of straight x subscript 1 straight x subscript 2 end root end fraction plus square root of straight p over straight q end root equals fraction numerator fraction numerator negative straight q over denominator straight p end fraction over denominator square root of straight q over straight p end root end fraction plus square root of straight p over straight q end root........... from space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis equals fraction numerator negative straight q over denominator straight p end fraction cross times fraction numerator square root of straight p over denominator square root of straight q end fraction plus square root of straight p over straight q end root equals negative square root of straight q over straight p end root plus square root of straight p over straight q space end root space space space space as space square root of straight q over straight p end root equals square root of straight x subscript 1 straight x subscript 2 end root fraction numerator straight x subscript 1 plus straight x subscript 2 over denominator square root of straight x subscript 1 straight x subscript 2 end root end fraction plus square root of straight q over straight p end root equals fraction numerator straight x subscript 1 plus straight x subscript 2 over denominator square root of straight x subscript 1 straight x subscript 2 end root end fraction plus square root of straight x subscript 1 straight x subscript 2 end root equals fraction numerator straight x subscript 1 plus straight x subscript 2 plus straight x subscript 1 straight x subscript 2 over denominator square root of straight x subscript 1 straight x subscript 2 end root end fraction equals 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight x subscript 1 plus straight x subscript 2 plus straight x subscript 1 straight x subscript 2 equals 0 end style
Answered by | 27 Mar, 2018, 09:33: AM

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