Answer:
A. and C.
Step-by-step explanation:
1. Plug in the values of a, b, and c into the quadratic formula:
[tex]x= \frac{-(-5)+-\sqrt{(-5)^{2}-4(1)(3) } }{2(1)}[/tex]
2. Solve the sqaure root:
[tex]x= \frac{-(-5)+-\sqrt{25-12} }{2(1)} \\\\x =\frac{-(-5)+-\sqrt{13} }{2(1)}[/tex]
3. Simplify the rest:
[tex]x=\frac{5+-\sqrt{13} }{2}[/tex]
4. Separate the solutions:
[tex]x= \frac{5+\sqrt{13} }{2} , x= \frac{5-\sqrt{13} }{2}[/tex]
A and C represent these solutions, therefore they are the anwsers.
hope this helps!
