Question

find a quadratic polynomial the sum and product of whose zeroes are 3+√5 ,3-√5

Answer 1

sum of zeros=3+√5+3-√5
                      =6
product of zeros=3+√5(3-√5)
                          =9-5=4
   quadratic polynomial is x^2-6x+4=0

Answer 2

A quadratic equation is represented as
x^2 - (sum of zeroes) + (product of zeroes)
Given as sum of zeroes= 3+√5
and product of zeroes= 3-√5
Putting the values we get the equation as:
x^2 - (3+√5) +(3-√5)
x^2 - 3-√5 +3-√5
x^2 -2√5 is the required equation
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