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CBSE Class 11-science Answered

The quadratic equation, who's roots are reciprocal of the roots of the equation- ax^2+bx+c,is?
Asked by drhimasingh | 26 May, 2020, 11:31: PM
Expert Answer
Let alpha and beta be the roots of the quadratic equation ax2+bx+c=0
Using space the space relation space between space the space roots space and space coefficients comma space we space have straight alpha plus straight beta equals negative straight b over straight a space and space αβ equals straight c over straight a 1 over straight alpha plus 1 over straight beta equals fraction numerator straight alpha plus straight beta over denominator αβ end fraction equals fraction numerator negative begin display style straight b over straight a end style over denominator begin display style straight c over straight a end style end fraction equals negative straight b over straight c 1 over straight alpha 1 over straight beta equals 1 over αβ equals fraction numerator 1 over denominator begin display style straight c over straight a end style end fraction equals straight a over straight c The space required space quadratic space equation space is space straight x squared plus open parentheses 1 over straight alpha plus 1 over straight beta close parentheses straight x plus open parentheses 1 over straight alpha 1 over straight beta close parentheses equals 0 rightwards double arrow straight x squared minus straight b over straight c straight x plus straight a over straight c equals 0 rightwards double arrow cx squared minus bx plus straight a equals 0
Answered by Renu Varma | 27 May, 2020, 11:50: AM

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