Quadratics/Complex Numbers

#/Types of Solutions

100

What mathematical "tool" do we use to determine the number and type of solutions that we have to a quadratic? Provide name and operation.

Discriminant: b²-4ac

200

How many and what types of solutions will this quadratic have? 

x²+3x+6= 0

2 complex solutions

300

How many and what type of solution would this Quadratic Have? 

3x²+4x-5

2 real solutions

400

How many and what type of solutions would this quadratic have? 

x²-4x+4=0

1 real solution

Solving Quadratics

100

Solve the Following quadratic: 

t²-49=0

t = +- 7i

200

Solve the following Quadratic: 

b²-2b=-10

(2+-6i)/2

300

Solve:  

2(p+3)²-14=-30

+-2isqrt(2)-3

Complex Operations

100

How do we need to write our solutions when doing complex number operations? 

a+bi 

Constant before the imaginary term

200

Solve: 

5(i +6) - 4

26 +5i

300

Solve: 

(2i - 6)(5i -4)

14- 38i

400

Solve: 

5i² + 4i(6i+7)

-1