Answer:
[tex]x_{1}=-9+\sqrt{87}[/tex]
[tex]x_{2}=-9-\sqrt{87}[/tex]
Step-by-step explanation:
Quadratic Equation given:
[tex]x^2 + 18x = 6[/tex]
[tex]x^2 + 18x + 81= 6+81[/tex]
Completing the square:
[tex](x+9)^2=87[/tex]
[tex]x+9=\pm\sqrt{87}[/tex]
[tex]x=-9\pm\sqrt{87}[/tex]
