F I N D space T H E space V A L U E space O F space C space I 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 4 X squared minus 2 open parentheses C plus 1 close parentheses plus open parentheses C plus 4 close parentheses H A S space R E A L space A N D space E Q U A L space R O O T S.

Asked by dalbirgolagarh | 25th Nov, 2015, 06:10: AM

Expert Answer:

begin mathsize 14px style T h e space g i v e n space e q u a t i o n space i s space 4 x squared minus 2 left parenthesis c plus 1 right parenthesis x plus left parenthesis c plus 4 right parenthesis C o m p a r i n g space w i t h space a x squared plus b x plus c equals 0 comma space w e space h a v e a equals 4 comma space b equals negative 2 left parenthesis c plus 1 right parenthesis comma space c equals left parenthesis c plus 4 right parenthesis triangle equals b squared minus 4 a c equals left square bracket negative 2 left parenthesis c plus 1 right parenthesis right square bracket squared minus 4 left parenthesis 4 right parenthesis left parenthesis c plus 4 right parenthesis equals 4 left parenthesis c squared plus 2 c plus 1 right parenthesis minus 16 left parenthesis c plus 4 right parenthesis equals 4 c squared plus 8 c plus 4 minus 16 c minus 64 equals 4 c squared minus 8 c minus 60 T h e space r o o t s space a r e space r e a l space a n d space e q u a l. rightwards double arrow triangle equals 0 rightwards double arrow 4 c squared minus 8 c minus 60 space equals 0 rightwards double arrow c squared minus 2 c minus 15 equals 0 rightwards double arrow c squared minus 5 c plus 3 c minus 15 equals 0 rightwards double arrow c left parenthesis c minus 5 right parenthesis plus 3 left parenthesis c minus 5 right parenthesis equals 0 rightwards double arrow left parenthesis c minus 5 right parenthesis left parenthesis c plus 3 right parenthesis equals 0 rightwards double arrow c minus 5 equals 0 space o r space c plus 3 equals 0 rightwards double arrow c equals 5 space o r space c equals negative 3 end style

Answered by Rashmi Khot | 25th Nov, 2015, 08:48: AM

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