What number goes in the "?" spot below when solving by completing the square? x^2 + 16x– 7 = 0
x^2 + 16x +1? = 7 + ?

Step-by-step explanation:

If  

x

2

+

16

x

are the first two terms of an squared expression

(

x

+

a

)

2

=

x

2

+

2

a

x

+

a

2

then  

a

=

8

x

2

+

16

x

=

0

can be written as

x

2

+

16

x

+

8

2

=

8

2

#(x+8)^2 = 64

Taking the square root

x

+

8

=

±

8

and

x

=

0

or  

x

=

16

6 meters

step-by-step explanation: