Answer:
Option 3 is correct that [tex]x^2-4x+5[/tex]
Explanation:
To form a quadratic equation from its zeroes we have a formula which is
[tex]x^2-(sum of zeroes)x+product of zeroes[/tex]
Here we have been give the two zeroes [tex]x=2+i[/tex] and [tex]x=2-i[/tex]
substituting the values [tex]x=2+i[/tex] and [tex]x=2-i[/tex] in the formula we will get
[tex]x^2-{(2+i)+(2-i)}x+(2+i)(2-i)[/tex]
After simplifying the equation we will get [tex]x^2-4x+5[/tex]
Since, [tex]i^2=-1[/tex]
Therefore required equation is :[tex]x^2-4x+5[/tex]
