Question

Which two values of x are roots of the polynomial below?
x2 + 3x + 5

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

Data

                            x² + 3x + 5

Factor

- Solve using the formula

                     x = -b ±$\sqrt{b^{2} -4 ac} / 2a$

- Substitution

                     x = -3 ± $\sqrt{3^{2} - 4(1)(5)} /2$

- Simplification

                     x = -3 ± $\sqrt{9 - 20} / 2$

                     x = -3 ± $\sqrt{-11} / 2$

- Result

       x₁ = -3+$\sqrt{11} i / 2$                    x₂ = - 3 - $\sqrt{11} i$ / 2