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CBSE Class 10 Answered

For what value of k does the equation X2 + 2x + k2 + 1 = 0 has real and equal roots ?
Asked by gpnkumar0 | 29 Jan, 2018, 08:16: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given space quadratic space equation colon space straight x squared plus 2 straight x plus straight k squared plus 1 equals 0 space
Here comma space straight a equals 1 comma space straight b equals 2 comma space straight c equals straight k squared plus 1
For space real space and space equal space roots comma
Discriminant equals 0
rightwards double arrow straight b squared minus 4 ac equals 0
rightwards double arrow left parenthesis 2 right parenthesis squared minus 4 left parenthesis 1 right parenthesis left parenthesis straight k squared plus 1 right parenthesis equals 0
rightwards double arrow 4 minus 4 straight k squared minus 4 equals 0
rightwards double arrow negative 4 straight k squared equals 0
rightwards double arrow straight k squared equals 0
rightwards double arrow straight k equals 0 end style
Answered by Rashmi Khot | 30 Jan, 2018, 09:22: AM
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