Respuesta :

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

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