# 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

Expert Answer

Since, α and β are the zeros of the polynomial x

^{2}- 6x + kTherefore, 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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