Answer:
The solutions are [tex]x=-4(+/-)\sqrt{13}[/tex]
Step-by-step explanation:
we have
[tex]x^{2} +8x=-3[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex]x^{2} +8x+16=-3+16[/tex]
[tex]x^{2} +8x+16=13[/tex]
Rewrite as perfect squares
[tex](x+4)^{2}=13[/tex]
square root both sides
[tex]x+4=(+/-)\sqrt{13}[/tex]
[tex]x=-4(+/-)\sqrt{13}[/tex]
