Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
![\sqrt[5]{x^5}=\sqrt[5]{1}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%7D)
also,
1 can be written as 1⁵
therefore,
![\sqrt[5]{x^5}=\sqrt[5]{1^5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%5E5%7D)
or
x = 1
Hence,
the two roots are x = 1 and x = 4
I don’t have time for a specific answer right now but basically it would be in the same spot except flipped so it’s on the right now.
Weight of a puppy in a local pet store = 72 ounces
Given ,
1 pound = 12 ounces
Then , 72 ounces will be equal to :
= 72 ÷ 12
= 6
Therefore , the weight of the puppy is 6 pounds .
Answer:
12y + 24
Step-by-step explanation:
12 (y + 2) ---> 12y + 24
I don't know if I'm missing something but uh... it was simple? Tell me if I missed something.
The answer is 48π units³ or 150.72 units³.
To find the volume of the cone, use the formula : <u>1/3 × πr²h</u>
We are given that r = 6 and h = 4.
Solving :
- V = 1/3 × π × 6² × 4
- V = 12 × 4 × π
- V = 48π units³ (in terms of π)
- V = 150.72 units³