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