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CBSE Class 10 Answered

If 1 is the root of the equation 3x^2 +ax-2=0 and the quadratic equation a(x^2+6x)-b=0 has equal roots, find the value of b
Asked by Jerin Shaji | 11 Feb, 2016, 02:14: PM
answered-by-expert Expert Answer
begin mathsize 14px style S i n c e space 1 space i s space a space r o o t space o f space e q u a t i o n space 3 x squared plus a x minus 2 equals 0 comma space w e space h a v e 3 left parenthesis 1 right parenthesis squared plus a left parenthesis 1 right parenthesis minus 2 equals 0 rightwards double arrow 3 plus a minus 2 equals 0 rightwards double arrow a plus 1 equals 0 rightwards double arrow a equals negative 1 N o w comma space a left parenthesis x squared plus 6 x right parenthesis minus b equals 0 space h a s space e q u a l space r o o t s. i. e. space a x squared plus 6 a x minus b equals 0 space h a s space e q u a l space r o o t s. rightwards double arrow D i s c r i m i n a n t equals b squared minus 4 a c equals 0 rightwards double arrow left parenthesis 6 a right parenthesis squared minus 4 left parenthesis a right parenthesis left parenthesis negative b right parenthesis equals 0 rightwards double arrow 36 a squared plus 4 a b equals 0 rightwards double arrow 36 cross times left parenthesis negative 1 right parenthesis squared plus 4 left parenthesis negative 1 right parenthesis b equals 0 rightwards double arrow 36 minus 4 b equals 0 rightwards double arrow 4 b equals 36 rightwards double arrow b equals 9 end style
Answered by Rashmi Khot | 11 Feb, 2016, 02:25: PM

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