Answer:
x=0 or x=16
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
Answer:
+ 64
Step-by-step explanation:
f(x) = x² - 16x
To complete the square
add ( half the coefficient of the x- term)² to x² - 16x
f(x) = x² + 2(- 8) +(- 8)²
= (x - 8)² + 64
= (x - 8)² ← a perfect square
