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CBSE Class 10 Answered

if one zero of 2x²-5x+lambda is 3/2, then find the value of lambda and other zero
Asked by s.kmounesha | 23 May, 2022, 14:35: PM
answered-by-expert Expert Answer
Since, one of the zeroes is 3/2.
rightwards double arrow 2 open parentheses 3 over 2 close parentheses squared minus 5 open parentheses 3 over 2 close parentheses plus straight lambda equals 0 rightwards double arrow 2 cross times 9 over 4 minus 5 cross times 3 over 2 plus straight lambda equals 0 rightwards double arrow 9 over 2 minus 15 over 2 plus straight lambda equals 0 rightwards double arrow straight lambda equals fraction numerator 15 minus 9 over denominator 2 end fraction equals 3 The space equation space becomes 2 straight x squared minus 5 straight x plus 3 equals 0 2 straight x squared minus 2 straight x minus plus 3 straight x plus 3 equals 0 2 straight x left parenthesis straight x minus 1 right parenthesis minus 3 left parenthesis straight x minus 1 right parenthesis equals 0 left parenthesis straight x minus 1 right parenthesis left parenthesis 2 straight x minus 3 right parenthesis equals 0 straight x equals 1 space and space straight x equals 3 over 2
Answered by Renu Varma | 27 May, 2022, 11:30: AM

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