Complex Numbers & Operations - 1/4/22 - Per 3 by Kristine Greengrove https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj en-us 2022-01-03 00:24:12 UTC 2025-12-13 11:00:17 UTC hello@padlet.com Application kgreengrove1 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1971282647 2022-01-03 00:24:12 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1971282647 Practice kgreengrove1 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1971282648 Write each of the following in the form a + bi

1. (2 + 5i) - (-6 + i)
2. (2i)(6 + 3i) -- Hint: Use Distributive Property

Solve the equation.

3. x2 + 16 = 0

]]> 2022-01-03 00:24:12 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1971282648 Zain Ali zain692292 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974418644 1. (2+5i) - ( -6+i)
    (2+5i) + (6 -i)
     (2+6) + ( 5i-i)
       8 + 4i]]> 2022-01-04 15:15:40 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974418644 Zain Ali zain692292 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974429151 2. (2i) (6+3i)
     12i + 6i
       18i

When you multiply 2i and 6i you get 12i^2. i^2 = -1. 12i + 6i^2 = 12i + 6(-1) = -6 + 12i]]> 2022-01-04 15:20:01 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974429151 Zain Ali zain692292 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974440137 x^2 + 16 = 0
x^2         = 0-16
 x^2        = -16
 square root on both sides
       x      = +-4     -1 
       x       = +4i
-4i]]> 2022-01-04 15:24:21 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974440137 richard700669 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974442221 1.   (2+5i)-(-6+i)
      ( 2-6)(i-5i)
(4,-4i)]]> 2022-01-04 15:25:11 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974442221 richard700669 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974453075 (2i)(6+3i)
(2i+x3i)(6)
(6i,6)

This is a multiplication problem. Use distributive property to get 12i + 6i^2. Then substitute -1 for i^2. 12i + 6(-1) = -6 + 12i]]> 2022-01-04 15:29:25 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974453075 richard700669 https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974474369 x^2 + 16 =0
x ^2 = 0-16
x^2=-16
x^2= -16
x^2 = +- 16 -1
x+ =+- 4 -i
(4i , -4i)]]> 2022-01-04 15:37:38 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1974474369 Micah https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1975185934 1. (2+5i)-(-6+i)
8+4i

2. 2i(-6+3i)=-12i+6i^2
-12i+6i^=-12i-6
-6-12i

3. x=4i, -4i

]]> 2022-01-04 21:42:02 UTC https://padlet.com/kgreengrove1/h0mmxjd6hhjbpawj/wish/1975185934