Question

find the quadratic polynomial whose roots are 3+√5and,3-√5

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Answer 1

Answer:

Step-by-step explanation:

x = 3+√5 , 3-√5

Sum of the zeros of the polynomial  = 3+√5 + 3-√5

                                                             =6

Product of the zeroes of the polynomial  = (3+√5)(3-√5)

                                                                      =9-5 = 4

Formula for quadratic equation =>

=k[x²-x(Sum of zeros of the  polynomial)+(Product of zeroes of the     polynomial)]                                {here k is some constant}

=k[x² - x(6) + (4)]

=k[x²-6x +4]

So, x² - 6x +4 is the quadratic equation