If one root of the equation (k − 1)x 2 − 10x + 3 = 0 is the reciprocal of the other, then the value of k is___________

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Question 12 (OR 1st question) If one root of the equation (k − 1)x2 − 10x + 3 = 0 is the reciprocal of the other, then the value of k is___________ Let one root of equation be α So, Other root = 1/𝛼 Now, we know that Product of roots = 𝑐/𝑎 𝛼 × 1/𝛼 = 3/((𝑘 − 1)) 1 = 3/((𝑘 − 1)) k – 1 = 3 k = 3 + 1 k = 4 ∴ Value of k is 4

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.