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CBSE Class 10 Answered

 
Q
Asked by araima2001 | 06 Feb, 2016, 07:44: AM
answered-by-expert Expert Answer
begin mathsize 14px style L e t space alpha space a n d space beta space b e space t h e space r o o t s space o f space t h e space q u a d r a t i c space e q u a t i o n space k x squared minus 14 x plus 8 equals 0 T h e n comma space alpha equals 6 beta space space space space space.... left parenthesis 1 right parenthesis N o w comma space alpha plus beta equals negative b over a rightwards double arrow 6 beta plus beta equals negative fraction numerator left parenthesis negative 14 right parenthesis over denominator k end fraction rightwards double arrow 7 beta equals 14 over k rightwards double arrow beta k equals 14 over 7 rightwards double arrow beta k equals 2 space space space space.... left parenthesis 2 right parenthesis A n d comma space alpha beta equals c over a equals 8 over k space space rightwards double arrow alpha beta k equals 8 rightwards double arrow alpha left parenthesis 2 right parenthesis equals 8 space space space space space space.... left square bracket F r o m space left parenthesis 2 right parenthesis right square bracket rightwards double arrow alpha equals 4 S u b s t i t u t i n g space i n space left parenthesis 1 right parenthesis comma 4 equals 6 beta rightwards double arrow beta equals 4 over 6 equals 2 over 3 F r o m space left parenthesis 2 right parenthesis comma space 2 over 3 cross times k equals 2 rightwards double arrow k equals fraction numerator 2 cross times 3 over denominator 2 end fraction equals 3 end style
Answered by Rashmi Khot | 08 Feb, 2016, 11:04: AM
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