Answer:
B. and C.
Step-by-step explanation:
1. Set the polynomial equal to zero:
x² + 5x + 7 = 0
2. Plug the given values of a, b, and c into the quadratic formula:
[tex]x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}[/tex]
3. Solve the square root:
[tex]x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-5+-\sqrt{25-28} }{2(1)}[/tex]
[tex]x=\frac{-5+-\sqrt{-3} }{2(1)}[/tex]
4. Simplify the rest:
[tex]x=\frac{-5+-\sqrt{-3} }{2}[/tex]
5. Separate the solutions:
[tex]x=\frac{-5+\sqrt{-3} }{2} , x=\frac{-5-\sqrt{-3} }{2}[/tex]
Thus, options B and C are the answers.
hope this helps!
