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ICSE Class 10 Answered

If -5 is a root of the equation 2xsquare+px-15=0 and pxsquare+px+k=0 has equal roots,find the value of k
Asked by dikshasinha17021976 | 16 Nov, 2018, 07:01: PM
answered-by-expert Expert Answer
begin mathsize 12px style f left parenthesis x right parenthesis space equals space 2 x squared space plus space p x space minus space 15 space i f space minus 5 space i s space r o o t space o f space f left parenthesis x right parenthesis comma space t h e n space f left parenthesis negative 5 right parenthesis space equals space 2 left parenthesis negative 5 right parenthesis squared space plus space p left parenthesis negative 5 right parenthesis space minus 15 space equals space 0 space......... left parenthesis 1 right parenthesis f r o m space e q n. left parenthesis 1 right parenthesis comma space space w e space g e t space p space equals space 7 n o w space l e t space u s space c o n s i d e r space o t h e r space e q u a t i o n space colon negative space p x squared plus p x plus k space equals space 0 space space.............. left parenthesis 2 right parenthesis b y space s u b s t i t u t i n g space p equals space 7 space i n space e q n. left parenthesis 2 right parenthesis comma space w e space g e t space 7 x to the power of 2 to the power of space end exponent plus space 7 x space plus k space equals space 0 space.......... left parenthesis 3 right parenthesis i f space e q n. left parenthesis 3 right parenthesis space h a s space e q u a l space r o o t s comma space t h e n space d i s c r i m i n a n t space space 7 squared space minus space 4 cross times 7 cross times k space equals space 49 minus 28 k space equals space 0 space h e n c e space k space equals space 49 divided by 28 end style
Answered by Thiyagarajan K | 16 Nov, 2018, 10:50: PM

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