The roots of an equation are x = -1 ± i. The equation is:
x2 + _____ + 2 = 0.
1 answer:
Answer:
x² + 2x + 2 = 0
Step-by-step explanation:
Given that the roots are x = - 1 + i and x = - 1 - i
Then the factors are
(x - (- 1+ i))(x - (- 1 - i)
= (x + 1 - i)(x + 1 + i) ← expand factors
= (x + 1)² - i² → note i² = - 1
= x² + 2x + 1 + 1
= x² + 2x + 2
Equation is x² + 2x + 2 = 0
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