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Answer: (C) x² - 4x + 5 = 0
Step-by-step explanation:
x = 2 ± i
⇒ x = 2 + i and x = 2 - i
⇒ x - (2 + i) = 0 and x - (2 - i) = 0
0 = (x - 2 - i)(x - 2 + i)
= x(x - 2 + i) -2(x - 2 + i) -i(x - 2 + i)
= x² - 2x +xi -2x + 4 - 2i -xi + 2i - i²
= x² - 4x + 4 - i²
= x² - 4x + 4 -(-1)
= x² - 4x + 5
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Answer: B
Explanation:
The slope from (0, 0) to (1, 4) is a rise of 4 and a run of 1, thus, m = 4/1 = 4