Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
First divide both sides by 2:
Move the constant term to the right side:
Since
we want to have
Then
So in our equation, we need to add 49/16 to both sides in order to complete the square:
Answer:
4 consecutive odd numbers are 111, 113, 115 and 117.
Step-by-step explanation:
Let the first odd number be x.
So the next odd number will be (x+2)
and the next two consecutive odd numbers are (x+ 4) and (x+6)
According to question,
The sum of all four odd consecutive numbers = 456
⇒ x + (x+ 2) + (x+4) + (x+6) = 456
or, 4x + 12 = 456
⇒ 4x = 456 - 12 = 444
⇒ x = 444/4 = 111
Hence, the first odd number = 111
Second odd number = 111+ 2 = 113
Third odd number is x + 4 = 111 + 4 = 115
And last odd number is x + 6 = 111 + 6 = 117
So, 4 consecutive odd numbers are 111, 113, 115 and 117.
-1/2 because the rise over run is -3/6 and simplified its -1/2
