Mathematical reasoning with Function: u^2 + v^2 = 2

[Hockey44]

I am wondering if anyone could help me with this assignment? Thank you!

Function: u^2 + v^2 = 2

1. Solve the problem assuming u and v are only required to be real numbers.

2. Solve the problem without using roots or fractional powers assuming that u and v are only required to be real numbers.

3. How do answers 1 and 2 change if u and v could be complex numbers.

 

[Deleted member 4993]

I am wondering if anyone could help me with this assignment? Thank you!

I cannot read your attachment - too small!

 

[Hockey44]

Mathematical reasoning

I am wondering if anyone could help me with this assignment? Thank you!

Function: u^2 + v^2 = 2

1. Solve the problem assuming u and v are only required to be real numbers.

2. Solve the problem without using roots or fractional powers assuming that u and v are only required to be real numbers.

3. How do answers 1 and 2 change if u and v could be complex numbers.

 

[Deleted member 4993]

I am wondering if anyone could help me with this assignment? Thank you!

Function: u^2 + v^2 = 2

1. Solve the problem assuming u and v are only required to be real numbers.

2. Solve the problem without using roots or fractional powers assuming that u and v are only required to be real numbers.

3. How do answers 1 and 2 change if u and v could be complex numbers.

What is the problem?

 

[Hockey44]

Problem

Problem: Find a general formula for two squares whose sum = 2

general formula I got was u^2 + v^2 = 2
and then have to do the following questions using that

 

[JeffM]

Problem: Find a general formula for two squares whose sum = 2

general formula I got was u^2 + v^2 = 2
and then have to do the following questions using that

"Formula" and "function" are not exact synonyms.

\(\displaystyle u^2 + v^2 = 2\) is a formula, not a function.

If the problem is simply to come up with a formula, you are done except for specifying in one case that u and v are real numbers and in the other that they are complex numbers. So I doubt we yet understand what the problem INTENDS to require you to do.