CBSE Class 10 Answered
If α and β are tge zeros of the polynomial x^2 - 6x + k and 3α + 2β=20 , then the value of k is
Asked by ruchipandey20071978 | 21 May, 2023, 10:00: PM
Since, α and β are the zeros of the polynomial x2 - 6x + k
Therefore, α + β = 6 ... (1)
Also, 3α + 2β = 20 ... (2)
Solving (1) & (2), we get
α = 8 and β = -2
Using relation between roots and coefficients, we have
αβ = k = -16
Answered by Renu Varma | 22 May, 2023, 10:34: AM
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