Please help. Screenshot attachedn

Answer:
x = -0.17 and x = -5.83
Step-by-step explanation:
We are asked to solve the quadratic equation
[tex]x^2+6\,x+1=0[/tex]
We use the quadratic formula using a = 1, b = 6 and c = 1
for a general quadratic equation of the form: [tex]ax^2+bx+c=0[/tex]
Then, the solutions are given by;
[tex]x=\frac{-6+/-\sqrt{36-4\,(1)\,(1)} }{2} =\frac{-6+/-\sqrt{32} }{2}[/tex]
which produces the two following answers (rounded to two decimals):
x = -0.17 and x = -5.83