Rewrite the equation by completing the square. x² + 8x + 12 =10 Question Rewrite the equation by completing the square. x² + 8x + 12 =10 in progress 0 Math Delilah 3 hours 2021-10-14T10:14:47+00:00 2021-10-14T10:14:47+00:00 2 Answers 0

## Answers ( )

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 squareAnswer:(x+4)² – 14 =0Step-by-step explanation:x² + 8x + 12 =10

(x²+4²) – 4²+12 = 10

(x+4)² -4-10 = 0

(x+4)² – 14 =0When completing squares, in the equation above.Note:squarethehalfof8.addtheresulttox²,andsubtractitwith12.