Respuesta :
Answer:
(x +4)^2 = 14
Step-by-step explanation:
The constant on the left wants to be the square of half the coefficient of the linear term:
(8/2)^2 = 16
In order for it to be that value, we need to add 4 to the equation.
x^2 +8x +12 +4 = 10 +4
x^2 +8x +16 = 14 . . . . collect terms
(x +4)^2 = 14 . . . . . . . write as a square
Answer:
(x+4)² - 14 =0
Step-by-step explanation:
x² + 8x + 12 =10
(x²+4²) - 4²+12 = 10
(x+4)² -4-10 = 0
(x+4)² - 14 =0
Note: When completing squares, in the equation above.
- We square the half of 8.
- We add the result to x² , and subtract it with 12.