Completing the square follows the principle of taking
and converting it into
where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us
.
In this case, 2/2=1 so we have the first part:
.
Expanding this gives us
. We need c to be 9, so we can just add 8.
Putting this together:
Now we can solve it more easily.
Rearranging:
Answer:
p = 23 and p = -22
Step-by-step explanation:
| 2p -1 | =45
Absolute value equations have 2 solutions, one positive value and one negative
2p-1 = 45 and 2p-1 = -45
Add 1 to all sides
2p-1+1 = 45+1 and 2p-1+1 = -45+1
2p = 46 2p = -44
Divide by 2
2p/2 = 46/2 and 2p/2 = -44/2
p = 23 and p = -22
Answer:
x=8
Step-by-step explanation:
You would set them equal to each other to get 9x-13=6x+11.
You would them move 6x over so -6x on both sides. This would then get you 3x-13=11.
Then move the -13 over so add 13 to both sides to get 3x=24
Then get x by itself so divide by 3 to get x=24/3.
Then that simplified is 8
X=60 and if you plug in 60 to that equation, it equals 15.
1/4 x 60 =15
Hope this helps!
A line that passes through (5, 1) can have ANY slope and ANY y-intercept. There are an infinite number of different lines that pass through that point.
