Answer:
x = -4 ±√19. See below for the steps of the method.
Step-by-step explanation:
It can work well to add the opposite of the constant before you start.
... x² +8x = 3
Now, you identify the x-coefficient (8) and add the square of half that: 4² = 16. This addition completes the square.
... x² +8x +16 = 3 +16
Rewrite as a square.
... (x +4)² = 19
Now take the square root and subtract 4.
... (x +4) = ±√19
... x = -4 ±√19 . . . . . . . the solution by the desired method
