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The roots α and β of the quadratic equation x2-5x+3(k-1)=0 are such that α-β=1. Find the value k.Class 10 |
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Answer» Answer: 7 is the value Step-by-step explanation: Given X 2 −5x+3(k−1)=0 α,β are roots is given equation. α−β=11 __________ (1) using conditions we have α+β=5 αβ=3(k−1) now α−β= α 2 +β 2 −2αβ = (α+β) 2 −4αβ
(11) 2 =(α+β) 2 −4αβ 121−25=−12(k−1)⇒ 12 96 =1−k [k=-7] HENCE value of k is -7. |
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