If the zeroes of the polynomial xsquare - 5k + k are the reciprocal of each other then find the value of k?.
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compare given equation with ax2+ bx+c
a=1, b =-5, c=k
let the zeroes be t and 1/t (reciprocal)
product of zeroes = c/a
t× 1/t = k/1
1 = k
k=1
a=1, b =-5, c=k
let the zeroes be t and 1/t (reciprocal)
product of zeroes = c/a
t× 1/t = k/1
1 = k
k=1
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