Question

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If α and β are the zeroes of the polynomial 4x2 - 2x + ( k - 4) and α=1?Solution: , find the value of k.

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Answer 1

Here, p[x] = 4x²- 2x + k - 4

Here Alpha = 4, 6 = -2, C= 4 - k

Given Alpha & Beta are zero's of the given polynomial

Alpha = 1/ Beta

=> Beta = 1/ Alpha

Alpha × Beta = 1

Also Alpha × Beta = c/a = K-4/4

So, K- 4 = 1

4

K - 4 = 4

K = 4 + 4

= 8

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Answer 2

Here, p[x] = 4x²- 2x + k - 4

Here Alpha = 4, 6 = -2, C= 4 - k

Given Alpha & Beta are zero's of the given polynomial

Alpha = 1/ Beta

=> Beta = 1/ Alpha

Alpha × Beta = 1

Also Alpha × Beta = c/a = K-4/4

So, K- 4 = 1

4

K - 4 = 4

K = 4 + 4

= 8

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