Question

find a quardratic polynomial whose zeros are 3+√5/5&3-√5/5

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Answer 1

Answer :-

5x²-30x+46

Formula used :-

-x²+(a+b)x- ab

here a = 3+ √5/5 and b = 3-√5/5

hence ab = 9-1/5 = 46/5

Explanation :-

Putting values

-x²+(6)x-46/5 ...........(1)

multiplying eq 1 by -5 we get

5x²-30x+46

Answer 2

GIVEN:-

zeros are 3+√5/5&3-√5/5.

TO FIND:-

The quadratic polynomial.

SOLUTION:-

Formula  -x²+(a+b)x- ab

let  a = 3+ √5/5 and b = 3-√5/5

hence ab = 9-1/5 = 46/5

Putting values

-x²+(6)x-46/5 ...........(1)

multiplying eq 1 by -5 we get

=> 5x²-30x+46

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