Question

Solve for x x^2 + 6x + 1 = 0

Answer 1

Answer:

x = -.1715 ≈ - .172    or x = -5.83

Step-by-step explanation:

x² + 6x + 1 = 0

x² + 6x = -1

Complete the square   Add to both sides (1/2 of the x-term, then square it.)

x² + 6x + 9  = -1 + 9

(x + 3)(x + 3) = 8

(x + 3)² = 8

$\sqrt{(x + 3)^{2}$  = $\sqrt{8}$

 x + 3 = ±  $\sqrt{8}$

  x = -3 ± $\sqrt{8}$

   x = -3 + $\sqrt{8}$   or x = -3 - $\sqrt{8}$

   x = -.1715 ≈ - .172    or x = -5.83