Answer: [tex]x^{2} - 6x +6 = 0[/tex]
Step-by-step explanation:
The formula for finding quadratic equation is given as :
[tex]x^{2}[/tex] - sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots implies :
(3-√3)+(3+√3) =6
product of roots implies :
(3-√3) x (3+√3) = 9 +[tex]3\sqrt{3}[/tex] - [tex]3\sqrt{3}[/tex] - 3
(3-√3) x (3+√3) = 6
substituting into the equation we have:
[tex]x^{2} - 6x +6 = 0[/tex]
