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CBSE Class 10 Answered

Find the monoic quadratic with roots alpha and beta, if alpha*ß=-2, alpha²+ß²=4(alpha+ß)
Asked by vikasg13.hardware | 07 Aug, 2018, 05:08: PM
answered-by-expert Expert Answer
αβ = -2, α2 + β2 = 4(α + β)
Consider,
(α + β)2 = α2 + β2 + 2αβ
(α + β)2 = 4(α + β) + 2(-2)
Let α + β = m
m2 - 4m + 4 = 0
(m - 2)2 = 0
m = 2
α + β = 2
Hence,
x2 - (α + β)x + αβ = 0
x2 - 2x - 2 = 0
Answered by Sneha shidid | 13 Aug, 2018, 10:16: AM

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