1. draw a graph of b2-4ac=0 (discriminant)

Asked by richaverma914 | 8th Oct, 2015, 03:23: PM

Expert Answer:

C o n s i d e r space t h e space e q u a t i o n space x squared minus 4 x plus 4 equals 0 R e w r i t i n g space t h e space a b o v e space e q u a t i o n comma space w e space h a v e comma open parentheses x minus 2 close parentheses squared equals 0 rightwards double arrow x minus 2 equals 0 space space space space open square brackets t w i c e close square brackets rightwards double arrow x equals 2 I n space t h e space a b o v e space e q u a t i o n comma space a equals 1 comma space b equals negative 4 comma space c equals 4 T h u s comma space d i s c r i m i n a n t equals b squared minus 4 a c space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses negative 4 close parentheses squared minus 4 cross times 1 cross times 4 space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 16 minus 16 space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 0 T h u s space t h e space r o o t s space a r e space e q u a l space a n d space a r e space 2 comma space 2 O b s e r v e space t h e space f o l l o w i n g space g r a p h space o f space t h e space c u r v e space w h o s e space e q u a t i o n space i s space x squared minus 4 x plus 4 a n d space i t s space d i s c r i m i n a n t space i s space z e r o.

Answered by Vimala Ramamurthy | 9th Oct, 2015, 10:11: AM

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