Answer:
16
Step-by-step explanation:
Because:
Solution by completing the square for:
2+8+0=0
Eliminate terms with 0 to get:
2+8=0
Take half of the term and square it
[8⋅12]2=16
then add the result to both sides
2+8+16=+0+16
Rewrite the perfect square on the left
(+4)2=+0+16
and combine terms on the right
(+4)2=16
Take the square root of both sides
+4=±16‾‾‾√
Cannot Simplify the Radical term (1):
isolate the x on the left side and
solve for x (1)
=−4±4
therefore (2)
=−4+4
=−4−4
which becomes
=0
=−8
Answer:
+ 16
Step-by-step explanation:
x² - 8x = 0
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 0 + 16
(x - 4)² = 16 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 4 to both sides )
x = 4 ± 4
Then
x = 4 - 4 = 0 or x = 4 + 4 = 8
