msdeepakjyoti msdeepakjyoti

08-10-2020
Mathematics

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if A and B are the zeros of x square - 4 x + 1 then 1 / A + 1 / B minus A B is

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bhaskarkapoor862 bhaskarkapoor862

08-10-2020

Answer:

Given: α,β are zeroes of the polynomial x

2

−4x+1

To find the value of

α

1

+

β

1

−αβ

Sol: From the given quadratic equation,

α+β=4 and αβ=1

Therefore,

α

1

+

β

1

−αβ=

αβ

α+β

−αβ

⟹=4−1=3

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