Answer:
Download photo math and it will give you your answer
Answer:
x ∈ (-∞, -2) ∪ (2, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
![x ^ 2-4 = 0\\x ^ 2 = 4](https://tex.z-dn.net/?f=x%20%5E%202-4%20%3D%200%5C%5Cx%20%5E%202%20%3D%204)
So the roots are:
![x = 2\\x = -2](https://tex.z-dn.net/?f=x%20%3D%202%5C%5Cx%20%3D%20-2)
Therefore we can write the expression in the following way:
![x ^ 2-4 = (x-2)(x + 2)](https://tex.z-dn.net/?f=x%20%5E%202-4%20%3D%20%28x-2%29%28x%20%2B%202%29)
Now the expression is as follows:
![\frac{(x + 5) ^ 2}{(x-2)(x + 2)}\geq0](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%20%2B%205%29%20%5E%202%7D%7B%28x-2%29%28x%20%2B%202%29%7D%5Cgeq0)
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that compose the expression:
.
Observe the attached image.
We know that the first two roots are not allowed because they make zero the denominator, we also know that (x + 5) ^ 2 is always positive because it is squared, so it is not necessary to include the numerator in the study of signs.
Note that:
when ![x\geq2](https://tex.z-dn.net/?f=x%5Cgeq2)
when ![x\geq-2](https://tex.z-dn.net/?f=x%5Cgeq-2)
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -2) ∪ (2, ∞)
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
Hello!
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
❖ You'd need to know the volume of the bucket.
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
Answer:
corresponding angle is 2nd picture and first is also corresponding