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

Step-by-step 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

Answer:

x=-2,8

Step-by-step 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