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If one zero of 2x2 - 3x + k is the reciprocal to the other, Find k.

1 Answer

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answered by (249k points)

Let one zero of the polynomial 2x2 - 3x + k be α.

So, the other zero is 1/α.

Here, 

a = 2

b = -3

c = k

So,

α x 1/α = c/a

1 = k/2

k = 2

The value of k is 2.

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