Answer:
see explanation
Step-by-step explanation:
Given
(x - 2)² + 9 = 0 ( subtract 9 from both sides )
(x - 2)² = - 9 ( take the square root of both sides )
x - 2 = ± [tex]\sqrt{-9}[/tex]
[tex]\sqrt{-9}[/tex] yields no real solutions
There is no real number when multiplied by itself gives - 9
In fact the solutions to [tex]\sqrt{-9}[/tex] are said to be imaginary, that is ± 3i
where i = [tex]\sqrt{-1}[/tex]
If interested investigate further.
