Answer :
5 + (n - 1)²
5 + (n - 1)(n - 1)
5 + (n² - n - n + 1)
5 + (n² - 2n + 1)
n² - 2n + 1 + 5
n² - 2n + 6 = 0
n = -(-2) +/- √((-2)² - 4(1)(6))
2(1)
n = 2 +/- √(4 - 24)
2
n = 2 +/- √(-20)
2
n = 2 +/- 2i√(5)
2
n = 1 + i√(5)
n = 1 + i√(5) n = 1 - i√(5)
The answer is equal to B.
5 + (n - 1)(n - 1)
5 + (n² - n - n + 1)
5 + (n² - 2n + 1)
n² - 2n + 1 + 5
n² - 2n + 6 = 0
n = -(-2) +/- √((-2)² - 4(1)(6))
2(1)
n = 2 +/- √(4 - 24)
2
n = 2 +/- √(-20)
2
n = 2 +/- 2i√(5)
2
n = 1 + i√(5)
n = 1 + i√(5) n = 1 - i√(5)
The answer is equal to B.