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CBSE Class 10 Answered

Find the values of k for which the roots are real and equal in the equation 2x2- (k-2)x + 1 = 0.

Asked by bosesreyan | 09 Mar, 2016, 10:11: PM
answered-by-expert Expert Answer
begin mathsize 16px style 2 x squared minus left parenthesis k minus 2 right parenthesis x plus 1 equals 0 R o o t s space o f space t h e space g i v e n space e q u a t i o n space a r e space e q u a l. rightwards double arrow D i s c r i m i n a n t comma space b squared minus 4 a c equals 0 I n space t h e space g i v e n space e q u a t i o n comma space w e space h a v e a equals 2 comma space b equals negative left parenthesis k minus 2 right parenthesis comma space c equals 1 rightwards double arrow left square bracket negative left parenthesis k minus 2 right parenthesis right square bracket squared minus 4 left parenthesis 2 right parenthesis left parenthesis 1 right parenthesis equals 0 rightwards double arrow left parenthesis k minus 2 right parenthesis squared minus 8 equals 0 rightwards double arrow left parenthesis k minus 2 right parenthesis squared equals 8 rightwards double arrow k minus 2 equals plus-or-minus square root of 8 rightwards double arrow k equals 2 plus-or-minus square root of 8 space end style
Answered by Rashmi Khot | 10 Mar, 2016, 11:12: AM
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