CPM Homework Help : A2C Problem 11-158

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Home > A2C > Chapter 11 > Lesson 11.3.3 > Problem 11-158

11-158.

Let $p = 2 + 5i$ and $q = 3 - 4i$ . Calculate the following values and simplify to $a + bi$ form.

$p + q$
Step 1 (a):
Substitute the known values into the equation for $p$ and $q$ .
$(2 + 5i) + (3 - 4i)$
Step 2 (a):
Combine like terms.
$(2 + 3) + (5i - 4i)$
Step 3 (a):
Simplify.
Answer (a):
$5 + i$
Is this in $a + bi$ form? How can you tell?

$p - q$
Hint (b):
Use the same method as part (a).

$p ⋅ q$
Hint (c):
Remember that $i^2 = -1$ .
Use a generic rectangle to multiply the binomials.
Answer (c):
$26 + 27i$

$\frac { p } { q }$
Answer (d):
$-0.56 + 0.92i$

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