Question

Kai needs to solve the equation x2 - 6x - 16 = 0 by completing the square. Which pair of steps is the most efficient way to begin?​

Answer 1

Explanation:

`{x}^(2) - 6x - 16 = 0`

`{x}^(2) - 6x = 16`

`{x}^(2) - 6x + 9 = 16 + 9`

There two ways you can go this route.

Route 1

`(x - 3) {}^(2) = 25`

`(x - 3) {} = 5`

`x = 8`

And

`x - 3 = - 5`

`x = - 2`

The roots are 8,-2

Answer 2

x=-2,8

Explanation:

x2 - 6x - 16 = 0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8)(x+2)=0

either

x=8

or

x=-2