Complex Numbers

Misc.

100

How do we know if an equation is a quadratic?

The exponent of 2; it's squared

200

What shape does a quadratic equation is make?

Parabola; u-shaped

300

What does the little letter 'i' represent?

Imaginary numbers, square root of negative one

400

What is i^2 equal to?

-1

500

What is the square root of -25?

5i

Add

100

2i + 5i

7i

200

(4 + i) + (6 + 2i)

10 + 3i

300

(15 + 5i) + (-12 + 9i)

3 + 16i

400

2(3 + 9i) + (6 - 7i)

12 + 11i

500

5(-7 + 10i) + (30 + 6i)

-5 + 56i

Subtract

100

10i - 8i

2i

200

(12 + 8i) - (8 + 5i)

4 + 3i

300

(16 + 12i) - (4 - 8i)

12 + 20i

400

3(6 - 9i) - (4 + 7i)

14 - 34i

500

(10 - 5i) - 2(12 - 6i)

-14 + 7i

Multiply

100

6(3i)

18i

200

(7i)(3i)

-21

300

(5i)(5 + 8i)

25i - 40 or -40 + 25i

400

(10i)(12 - 8i)

120i + 80 or 80 + 120i

500

(2 + i)(3 + 6i)

15i

Divide

100

To divide we multiply the top and bottom by the ___________ of the denominator.

conjugate

200

What will I use to multiply the top and bottom in this problem?

(2+3i) / 2i

-2i

300

What will I use to multiply the top and bottom in this problem?

(6 - 4i) / (10 + 6i)

10 - 6i

400

(2 + 3i) / 2i

(-4 + 6)/4 OR (-2i + 3)/2

500

(6 - 4i) / (10 + 6i)

(36 - 76i)/136 OR (9 - 19i)/34