Answer:
[tex]x = 4 + \sqrt{19}[/tex]
Step-by-step explanation:
To solve by factoring, complete the square by dividing 8 from 8x in 2. Then square the result 4 to get 16. Add 16 to both sides.
[tex]x^2 -8x = 3\\\\x^2 - 8x + 16 = 3 + 16\\\\(x-4)^2 = 19[/tex]
The equation is now factored. To solve, take the square root of both sides and solve for x.
[tex]\sqrt{(x-4)^2} = \sqrt{19}\\\\x-4 = \sqrt{19} \\\\x = 4 + \sqrt{19}[/tex]
