Question

Solve the quadratic equation by completing the square. x^2+6x-6=0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas.

Answer 1

$x^{2} +6x - 6=0$
$x^{2} +6x =6$  ⁽$\frac{6}{2}^{2}$⁾
$x^{2}+6x+9 =15$ $(3)^{2} [tex] \sqrt{(x-3)^{2} } = \sqrt{15}$
$x-3 = \frac{+}{-} 3.872983346$
$x= 3 \frac{+}{-} 3.872983346$
$x= 6.872983346$  or $x= -.872983346$