If alpha and 1/alpha are zeroes of polynomial kx²-2x+k²+k . Find value of k
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Answer:
Step-by-step explanation:
(X -alphA)(X - 1/alpha) = 0
X^2 - X(alpha + 1/alpha) + 1 = 0
KX^2 - 2X + k^2 +k =0
X^2 -(2/K)X + k +1 = 0
k + 1 = 1
So K = 0
But then 2/k become infinite so seems some mistake in data
Avi69214:
Isn't there any other way to do this sum
Alpha*1/alpha = (k^2+k)/k that also lead to same result
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The value of k is 0 ............
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