Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Hope this can help you out some! :)
*There is a line under the greater than and less than sign is to show it can "greater than or equal to" or "less than or equal to"*
9 ≥ w and 2 ≤ w
*Since it says and, we solve both of them together.
If it said "OR", we would do the one side first then the other side*
9 ≥ w and 2 ≤ w
-2 -2
7 ≥ w and 0 ≤ w
Answer:
7 ≥ w and 0 ≤ w
Let me know if you have additional questions!
Have a great day/evening/night! :)
12.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666and so on
Answer:
The positive correlation between the number of socks and the number of shoes in home
Step-by-step explanation:
Nah i just get an example so that i can get clue,if my answer is wrong sorry in advanced
The question in the picture is very different from the question before the picture.
Half of 12 is ____
is a different question than
12 is ____ halves
When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.
One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.
12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10
