If alpha & beta are 0 of polynomial fx = x2 -x-k and alpha -beta =9 find k
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let alpha be a
and beta be b
a+b = 1................................……………………(1)
ab = -k
but it is given that a-b = 9……….............(2)
add 1&2
2a = 10
a = 5
b = -4
-k = 5×-4
k = 20
and beta be b
a+b = 1................................……………………(1)
ab = -k
but it is given that a-b = 9……….............(2)
add 1&2
2a = 10
a = 5
b = -4
-k = 5×-4
k = 20
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