So to solve this you need to reverse factor this problem
x^2 + 8x + 7 = 0
The common formula is this for factoring ax^2 + bx + c
Now you have to think what multplties to "c" and adds up to "b".
So in this case it's 7 x 1 = 7 and 7 + 1 = 8
So you set it up like this
(x + 7)(x + 1) = 0
So now you can check the factors by multiplying them together and see if it gets your original equation which is does.
So finally to get the answers you need to set each parenthesis to 0 and solve for x.
x + 7 = 0
x + 1 = 0
and we get x = -1 and - 7
You can also plug these two answers back into your original equation to see if it equals 0.
If you have any questions please feel free to comment
Answer:
10010110
Step-by-step explanation:
A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:
10000000
Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:
10010000
We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:
10010100
What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:
10010110
Answer:
Step-by-step explanation:
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