Question

1. if a number is subtracted from its square, the result is 110. find the number(s).

answer:

1. consider the set of real numbers and the set of complex numbers.

a. is every real number also a complex number? explain.

Explanation:

Set up and solve the quadratic equation for Question 4

$$
LATEXBLOCK0
$$

Analyze the relationship between real and complex numbers for Question 5a

$$
LATEXBLOCK1
$$

Answer:

Question 4

\(11\) and \(-10\)

Question 5

a. Yes. Every real number \(a\) can be written in the form \(a + 0i\), which is a complex number with an imaginary part of \(0\). Therefore, the set of real numbers is a subset of the set of complex numbers.