1. Equations & Inequalities

Complex Numbers

Multiple Choice
Find the product of the given complex number and its conjugate. $4-5i$
Multiple Choice
Find the product of the given complex number and its conjugate. $-7-i$
Multiple Choice
Find the quotient. Express your answer in standard form.
$\frac{6+i}{4-2i}$
Multiple Choice
Find the quotient. Express your answer in standard form.
$\frac{-5+3i}{-7-4i}$
Open Question
In Exercises 1–8, add or subtract as indicated and write the result in standard form.(7 + 2i) + (1 - 4i)
Open Question
In Exercises 1–8, add or subtract as indicated and write the result in standard form.(3 + 2i) - (5 - 7i)
Open Question
In Exercises 1–8, add or subtract as indicated and write the result in standard form.6 - (- 5 + 4i) - (- 13 - i)
Open Question
Decide whether each statement is true or false. If false, correct the right side of the equation. √-25 = 5i
Open Question
Decide whether each statement is true or false. If false, correct the right side of the equation. i^12 = 1
Open Question
Decide whether each statement is true or false. If false, correct the right side of the equation. (-2+7i) - (10-6i)= -12+i
Open Question
In Exercises 9–20, find each product and write the result in standard form.(7 - 5i)(- 2 - 3i)
Open Question
In Exercises 9–20, find each product and write the result in standard form.(3 + 5i)(3 - 5i)
Open Question
In Exercises 9–20, find each product and write the result in standard form.(- 5 + i)(- 5 - i)
Open Question
Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √24
Open Question
Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36