is the following statement true or false? justyfy your answer. If in a quadratic equation the coefficient of x is zeo, then the quadratic equation has no real roots.

Asked by bansari Butani | 2nd Dec, 2014, 09:45: PM

Expert Answer:

C o n s i d e r space t h e space q u a d r a t i c space e q u a t i o n space a x squared plus b x plus c equals 0 G i v e n space t h a t space t h e space c o e f f i c i e n t space o f space x space i s space z e r o rightwards double arrow b equals 0 rightwards double arrow a x squared plus c equals 0 rightwards double arrow a x squared equals minus c T h e r e f o r e comma space t h e space a b o v e space e q u a t i o n space h a s space t w o space r o o t s. I f space c space i s space p o s i t i v e comma space minus c space i s space n e g a t i v e space a n d space h e n c e space t h e space e q u a t i o n space h a s space t w o space i m a g i n a r y space r o o t s. I f space c space i s space n e g a t i v e comma space minus c space i s space p o s i t i v e space a n d space h e n c e space t h e space e q u a t i o n space h a s space t w o space r e a l space r o o t s. rightwards double arrow T h e space q u a d r a t i c space e q u a t i o n space m a y space o r space m a y space n o t space h a v e space r e a l space r o o t s space d e p e n d i n g space o n space t h e space s i g n space o f space t h e space c o n s tan t space t e r m space apostrophe c apostrophe S o space t h e space g i v e n space s t a t e m e n t space i s space f a l s e.

Answered by Vimala Ramamurthy | 3rd Dec, 2014, 08:33: AM