Q)

Asked by araima2001 | 12th Dec, 2015, 10:18: AM

Expert Answer:

C o n s i d e r space t h e space e q u a t i o n 2 x squared minus 6 x plus p equals 0 G i v e n space t h a t space t h e space a b o v e space e q u a t i o n space h a s space r e a l space a n d space u n i q u e space r o o t s. T h u s comma space t h e space c o n d i t i o n space f o r space a space q u a d r a t i c space e q u a t i o n space t o space h a v e space r e a l space a n d space d i f f e r e n t space r o o t s space i s space triangle greater than 0 comma space w h e r e triangle equals b squared minus 4 a c H e r e comma space b equals negative 6 comma space a equals 2 space a n d space c equals p therefore b squared minus 4 a c equals open parentheses negative 6 close parentheses squared minus 4 cross times 2 cross times p space space space space space space space space space space space space space space space space equals 36 minus 8 p space space space space space space space space space space space space space space space equals 4 cross times 9 minus 4 cross times 2 p space space space space space space space space space space space space space space space equals 4 open parentheses 9 minus 2 p close parentheses S i n c e triangle greater than 0 comma space w e space h a v e comma rightwards double arrow 4 open parentheses 9 minus 2 p close parentheses greater than 0 rightwards double arrow 9 minus 2 p greater than 0 rightwards double arrow 9 greater than 2 p rightwards double arrow p less than 9 over 2 H e n c e space left parenthesis A right parenthesis space i s space t h e space c o r r e c t space o p t i o n

Answered by Vimala Ramamurthy | 12th Dec, 2015, 01:55: PM

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