Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]x^2+5x+5=0\\\\\Delta=b^2-4ac=25-20=5[/tex]
The discriminant is positive so there are two distinct real solutions which are:
[tex]x_1=\boxed{\dfrac{-5-\sqrt{5}}{2}}\\\\x_1=\boxed{\dfrac{-5+\sqrt{5}}{2}}[/tex]
Thank you