SWBAT: Simplify negative radicals using imaginary numbers,
2) simplify powers if i, and 3) graph complex numbers.
SWBAT: Simplify negative radicals using imaginary numbers,
2) simplify powers if i, and 3) graph complex numbers.
𝟐
𝒙 = 𝟗
𝒙𝟐 =
𝟗
𝒙 = ±𝟑
𝒙𝟐 = −𝟗
𝒙𝟐 =
−𝟗
𝑵𝒐 𝒓𝒆𝒂𝒍 𝑺𝒐𝒍𝒖𝒕𝒊𝒐𝒏
SWBAT: Simplify negative radicals using imaginary numbers,
2) simplify powers if i, and 3) graph complex numbers.
SWBAT: Simplify negative radicals using imaginary numbers,
2) simplify powers if i, and 3) graph complex numbers.
SWBAT: Simplify negative radicals using imaginary numbers,
2) simplify powers if i, and 3) graph complex numbers.
𝟓𝒊
𝟔𝒊
−𝟒 𝟓=
−𝟒 𝟑=
−𝟏
−𝟏
𝟐𝒊 𝟓
𝟕=𝒊 𝟕
−𝟏 𝟏𝟎 - −𝟐𝟓 𝟏𝟎
𝒊 𝟏𝟎 - 𝟓𝒊 𝟏𝟎
−𝟒𝒊 𝟏𝟎
𝟐𝒊 𝟑
𝟓=𝒊 𝟓
−𝟐𝟓 𝟐 - −𝟏 𝟐 + −𝟏𝟎𝟎 𝟐
𝟓𝒊 𝟐 - 𝒊 𝟐
+ 𝟏𝟎𝒊 𝟐
𝟏𝟒𝒊 𝟐
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
𝟏
𝟑
𝟐
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
𝟏𝟕
𝟒
= 4.25
𝒊𝟏 = 𝒊
= 4.5
𝒊𝟐 = −𝟏
= 20.75
𝒊𝟑 = −𝒊
𝟐𝟐
𝟒
𝟖𝟑
𝟒
𝟏𝟎𝟎
𝟒
= 25.
𝒊𝟎 = 𝟏
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
= 𝒊𝟐 = −𝟏
𝟏𝟒
𝟒
= 3.5
= 5(-1) + 2i0
= -5 + 2(1)
= -5 + 2
= −𝟑
= 𝒊𝟑 = −𝒊
𝟕
𝟒
= 1.75
= 𝒊𝟑 = −𝒊
𝟑𝟗
𝟒
= 6.75
= 𝟒𝒊𝟐
= 4(-1)
= −𝟒
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
𝟓
𝟒
= 1.25
2i1 + 7i3
𝟕
𝟒
= 1.75
2i + 7(-i)
2i - 7i
= −𝟓𝒊
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
= -1+ 5i
-1+ 5i
-2 + 2i - (3 + 4i)
-2 + 2i + (-3 - 4i)
= -5 - 2i
-5 - 2i
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
2+ 3i
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
3 + 2i - (-1 + i)
= 2+ 5i
3 + 2i + (1 - i)
2+ 5i
= 4+ i
4+ i
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex
numbers.
(3, -4)