This document provides instructions and examples for graphing complex numbers and using the completing the square method to solve quadratic equations. It explains that to graph a complex number, you plot the real part on the x-axis and the imaginary part on the y-axis. It also outlines the six step process for completing the square, which involves factorizing the quadratic term, finding the constant c, adding it to both sides, taking the square root of both sides, and then solving for x.

1. Algebra 2
5.4 C Graphing Complex Numbers
1. Go to _____ on the _____________ axis
2. Go to _____ on the ___________________ axis.
ex 1: Graph on the grid above
a) 2 – 3i b) – 3 + 2i c) 4i
Note: The absolute value of a complex number is the _______________ from the origin.
5.5 Completing the Square
Binomial Theorem: __________________________________________________
Factor x2
+ 4x + 4
EX 1: Find the value of c that makes x2
– 7x + c a perfect square trinomial.

2. This process is called completing the square. We can use it to solve quadratic
equations.
EX 2: Solve x2
+ 10x – 3 = 0 by completing the square.
1. Move the ____________________
term to the opposite side of the equal
sign of the x-terms.
2. Find the c to complete the square.
3. Add c to _____________ sides (keep
it balanced!).
4. Factor the left side.
5. Take the
___________________________ of
both sides.
6. ______________ for x and simplify.
EX 3: Solve x2
+ 6x – 8 = 0 by completing the square.
HW p. 277 (30 – 36 even)
p. 286 (24 – 54 even)