Question
Solve x³ = p
Take the *blank 1*
Options for blank 1
A geometric root
B square root
C cube root
D principal root
*blank 2* solutions one could be positive one could be negative
Options for blank 2
A one
B three
C two
D unlimited
x ^ 3 = 125 root
(x ^ 3, 3) = root(125, 3)
x = *blank 3*
Options for blank 3
A 15
B 100
C 5
D 25
Make sure no one can find this
Take the *blank 1*
Options for blank 1
A geometric root
B square root
C cube root
D principal root
*blank 2* solutions one could be positive one could be negative
Options for blank 2
A one
B three
C two
D unlimited
x ^ 3 = 125 root
(x ^ 3, 3) = root(125, 3)
x = *blank 3*
Options for blank 3
A 15
B 100
C 5
D 25
Make sure no one can find this
Answers
GPT-4o mini
To solve the equation \( x^3 = p \):
For *blank 1*, the correct option is:
C cube root
For *blank 2*, since a cubic equation can have one real root (which can be positive or negative) and two complex roots, it is:
B three
Now, for your calculation where \( x^3 = 125 \):
To find \( x \), we take the cube root of 125:
\( x = \sqrt[3]{125} \)
- Evaluating \( \sqrt[3]{125} \) gives us:
\( x = 5 \)
For *blank 3*, the correct option is:
C 5
So, filling in the blanks:
- *blank 1*: C cube root
- *blank 2*: B three
- *blank 3*: C 5
Final answer:
1. C cube root
2. B three
3. C 5
For *blank 1*, the correct option is:
C cube root
For *blank 2*, since a cubic equation can have one real root (which can be positive or negative) and two complex roots, it is:
B three
Now, for your calculation where \( x^3 = 125 \):
To find \( x \), we take the cube root of 125:
\( x = \sqrt[3]{125} \)
- Evaluating \( \sqrt[3]{125} \) gives us:
\( x = 5 \)
For *blank 3*, the correct option is:
C 5
So, filling in the blanks:
- *blank 1*: C cube root
- *blank 2*: B three
- *blank 3*: C 5
Final answer:
1. C cube root
2. B three
3. C 5