2.If the difference of roots of the quadratic equation x^2+4px+p=0 is same as the difference of roots of quadratic equation x^2+4px+q=0,then find the relation between p and q if p!=q. 3.if x^2+5x+6+k=0,then the value of for which roots of the given equation differ by 1 is

Asked by nitinkumarsingh.singh.75 | 29th Jul, 2015, 01:02: PM

Expert Answer:

3. space x squared plus 5 x plus 6 plus k equals 0 L e t space t h e space r o o t s space o f space t h e space e q u a t i o n space b e space alpha space a n d space beta. space alpha space plus space beta equals negative 5 space alpha beta equals k plus 6  space alpha space minus space beta equals 1 left parenthesis alpha space minus space beta right parenthesis squared equals 1 squared space left square bracket S q u a r i n g space b o t h space s i d e s space o f space t h e space e q u a t i o n right square bracket left parenthesis alpha space plus space beta right parenthesis squared minus 4 alpha beta equals 1 squared space left parenthesis negative 5 right parenthesis squared minus 4 left parenthesis k plus 6 right parenthesis equals 1 25 minus 4 k minus 24 equals 1 minus 4 k equals 0 k equals 0  H e n c e space k equals 0.

Answered by Prasenjit Paul | 30th Jul, 2015, 11:12: AM

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