Respuesta :

Space

Answer:

x = -5.83, -0.17

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Since we are given a = 1, b = 6, and c = 1 from our quadratic, we use the Quadratic Formula:

Step 1: Plug in variables

[tex]x=\frac{-6+/-\sqrt{6^2-4(1)(1)} }{2(1)}[/tex]

Step 2: Solve

[tex]x=\frac{-6+/-\sqrt{36-4} }{2}[/tex]

[tex]x=\frac{-6+/-\sqrt{32} }{2}[/tex]

Step 3: Evaluate to decimals

When you do so, you should get x = -5.82843 and -0.171573

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▹ Answer

x₁ = -5.83

x₂ = -0.17

▹ Step-by-Step Explanation

x² + 6x + 1 = 0

[tex]x=\frac{-6+/-\sqrt{6^2-4(1)(1)} }{2(1)}x=\frac{-6+/-\sqrt{36-4} }{2}x=\frac{-6+/-\sqrt{32} }{2}[/tex]

final answer =

x₁ = -5.83

x₂ = -0.17

Hope this helps!

Brainliest is greatly appreciated

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