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CBSE Class 10 Answered

If alpha and beta are the zeros of the quadratic polynomial 5xsquare -2x-1 then find the polynomial whose zeros are 1/alpha and 1/beta
Asked by asharaikwar19 | 20 Apr, 2019, 09:46: PM
answered-by-expert Expert Answer
5 straight x squared minus 2 straight x minus 1 equals 0 straight alpha plus straight beta equals 2 over 5 αβ equals fraction numerator negative 1 over denominator 5 end fraction quadratic space equations space that space have space roots space 1 over straight alpha space and space 1 over straight beta straight x squared minus open parentheses 1 over straight alpha space plus space 1 over straight beta close parentheses straight x plus 1 over straight alpha space cross times space 1 over straight beta equals straight x squared minus open parentheses fraction numerator straight alpha plus straight beta over denominator αβ end fraction close parentheses straight x plus 1 over αβ equals straight x squared minus open parentheses fraction numerator 2 over 5 over denominator fraction numerator negative 1 over denominator 5 end fraction end fraction close parentheses straight x plus fraction numerator 1 over denominator fraction numerator negative 1 over denominator 5 end fraction end fraction equals straight x squared plus 2 straight x minus 5
Answered by Arun | 21 Apr, 2019, 10:49: AM

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