If n is known to be a rational number, does the value of quadratic trinomial n & # 178; - 4N + 5 have a maximum or a minimum? Please explain why Detailed answer steps. I am a student, 20 points reward!

If n is known to be a rational number, does the value of quadratic trinomial n & # 178; - 4N + 5 have a maximum or a minimum? Please explain why Detailed answer steps. I am a student, 20 points reward!

n²-4n+5
=(n²-4n+4)+1
=(n-2)²+1
≥1
The value of quadratic trinomial n & # 178; - 4N + 5 has a minimum value of 1