Question

if alpha+ beta are the zeroes of polynomial p(x) x2-6x+k and alpha2+beta2is equal to40 find the value k..​

Answer 1

Answer:

k=-2

Explanation:

$\alpha + \beta = \frac{ - b}{a} = 6$

$\alpha \beta = \frac{c}{a} = k$

Given,

$\alpha { }^{2} + { \beta }^{2} = ( \alpha + \beta ) ^{2} - 2 \alpha \beta$

$40 = {6}^{2} - 2k$

$40 - 36 = - 2k$

$4 = - 2k$

$k = \frac{4}{ - 2}$

$k = - 2$

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Answer 2

Explanation:

k =-2

explanation uper wale ne ki hui h