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ICSE Class 10 Answered

Find the value of k for which the roots of the following equation are real and equal k^2x^2-2(2k-1)x+4=0
Asked by dibyamrao000 | 31 May, 2018, 08:43: AM
answered-by-expert Expert Answer
begin mathsize 16px style Since space the space roots space are space real space and space equal. straight b squared space minus space 4 ac space equals space 0 We space have space straight k squared straight x squared space minus space 2 left parenthesis 2 straight k space minus space 1 right parenthesis straight x space plus space 4 space equals 0 On space comparing space with space ax squared space plus space bx space plus space straight c space equals space 0 comma space we space get straight a space equals space straight k squared space comma space space straight b space equals space minus 2 space left parenthesis space 2 straight k space minus 1 space right parenthesis space and space straight c space equals space 4 rightwards double arrow straight b squared space minus space 4 ac space equals left square bracket space negative 2 space left parenthesis space 2 straight k space minus 1 space right parenthesis right square bracket squared space minus space 4 space cross times space straight k squared space cross times 4 space equals space 0 rightwards double arrow left square bracket space negative 2 space left parenthesis space 2 straight k space minus 1 space right parenthesis right square bracket squared space minus space 4 space cross times space straight k squared space cross times 4 space equals space 0 rightwards double arrow 4 left parenthesis 4 straight k squared space minus space 4 straight k space plus space 1 right parenthesis space minus 16 straight k squared space equals space 0 rightwards double arrow 16 straight k squared space minus space 16 straight k space plus space 4 minus 16 straight k squared space equals space 0 rightwards double arrow negative 16 straight k space equals space minus 4 rightwards double arrow straight k space equals space 1 fourth end style
Answered by Yasmeen Khan | 31 May, 2018, 12:16: PM

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