Question

find quadratic polynomial whose zeros are 3+root5 /5 and 3-root5/5

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Answer 1

hey mate ...

x²-(sum of zeroes)x+product of zeroes

x²-(3+root 5/5+3-root 5/5)x+(3+root5/5)(3-root 5/5)

=x²-(6)x+9-5/5

=x²-6x+8

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