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3 years ago

The roots of an equation are x = -1 ± i. The equation is: x2 + _____ + 2 = 0.

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

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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