Answer:
The answer to your question is below
Step-by-step explanation:
Data
x² + 3x + 5
Factor
- Solve using the formula
x = -b ±[tex]\sqrt{b^{2} -4 ac} / 2a[/tex]
- Substitution
x = -3 ± [tex]\sqrt{3^{2} - 4(1)(5)} /2[/tex]
- Simplification
x = -3 ± [tex]\sqrt{9 - 20} / 2[/tex]
x = -3 ± [tex]\sqrt{-11} / 2[/tex]
- Result
x₁ = -3+[tex]\sqrt{11} i / 2[/tex] x₂ = - 3 - [tex]\sqrt{11} i[/tex] / 2
