Solve by taking the square root
Solve: (x-4)2 = -49
What is x= 4 +- 7i
√(-81)
9i
(2 + 3i) + (4 + 7i)
6+10i
3i(2i2 - 5i)
15 - 6i
What is this called: √
A Radical
Solve: (x+4)2 = -4
What is x=-4 +- 2i
√(-100)
10i
(5 + 6i) + (4 - 2i)
What is 9 + 4i
(6 + 2i)(6 - 2i)
40
Why do we need imaginary numbers?
To find the square root of negative numbers
Solve: (x+13)2 = -100
√(-16)
4i
6 + 5i - 3 - 2i
What is 3+3i
(2 + 3i)(4 + 7i)
-13+26i
Simplify the following: √(-81
9i
Solve: (x-15)2 = -144
√(-36)
6i
2 - 7i - 1 + 4i
What is 1-3i
(7 + i)(7 - i)
50
√(36) + √(-36)
6 + 6i
Solve: (x+ 20)2 = -200
√(-4) + √(-9)
5i
9 + 2i - (6 + 4i)
3 - 2i
3i(-8i + 5) + 2(5 - i)
34 + 13i
the square root of -1
i