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CBSE Class 11-science Answered

The equations x ^2 − 4x + k = 0 and x ^2 + kx − 4 = 0, where k is a real number, have exactly one common root. What is the value of k? [Ans: 03
Asked by Anil | 12 Aug, 2017, 10:06: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight m space be space the space common space root space of space the space given space equations straight m squared minus 4 straight m plus straight k equals 0........ left parenthesis 1 right parenthesis straight m squared plus km minus 4 equals 0........ left parenthesis 2 right parenthesis Subtracting space left parenthesis 2 right parenthesis space from space left parenthesis 1 right parenthesis straight m squared minus 4 straight m plus straight k minus open parentheses straight m squared plus km minus 4 close parentheses equals 0 open parentheses negative 4 minus straight k close parentheses straight m plus straight k plus 4 equals 0 open parentheses negative 4 minus straight k close parentheses straight m equals negative straight k minus 4 straight m equals 1 Put space it space in space the space equation space straight x squared minus 4 straight x plus straight k equals 0 1 minus 4 plus straight k equals 0 straight k equals 3 end style
Answered by Sneha shidid | 14 Aug, 2017, 08:50: AM

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CBSE 11-science - Maths
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