Answer: [tex]x= -4+ \sqrt{23}[/tex] , or [tex]x= - 4 -\sqrt{23}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex]x^2+8x=7[/tex]
The coefficient of 8x is 8. Let b=8.
Then we need to add (b/2)^2=16 to both sides to complete the square.
Add 16 to both sides
x^2+8x+16 = 7+16
x^2 + 8x+ 16= 23
Factor left side.
(x+4)^2 = 23
Take the square root.
[tex]x+4 = +/- \sqrt{23}[/tex]
Add -4 to both sides.
