Question

3. If a,B are the zeroes of the polynomial p(x) = x - 8x + k, such that a'+ß" = 40 ,find the value
of k​

Answer 1

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If alpha and beta are the zeroes of p(x)=x2-8x+k and alpha2 +beta2=40 then findthe value of k

p(x) = x² - 8x + k

Let 'a' be alpha and 'b' be beeta

a + b = 8

ab = k

a² + b² = 40

( a + b )² = 8²

a² + b² + 2ab = 64

40 + 2k = 64

2k = 24

k = 12

Hope it helps