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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.
𝒙𝟐 = 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 = 𝟐𝒊 𝟓 −𝟒 𝟑 = 𝟐𝒊 𝟑 −𝟏 𝟕 = 𝒊 𝟕 −𝟏 𝟓 = 𝒊 𝟓
−𝟏 𝟏𝟎 - −𝟐𝟓 𝟏𝟎
𝒊 𝟏𝟎 - 𝟓𝒊 𝟏𝟎
−𝟒𝒊 𝟏𝟎
−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 𝟐
𝟑
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.
𝟏𝟕
𝟒 = 4.25 𝒊𝟏 = 𝒊
𝟐𝟐
𝟒 = 4.5 𝒊𝟐 = −𝟏
𝟖𝟑
𝟒 = 20.75 𝒊𝟑 = −𝒊
𝟏𝟎𝟎
𝟒 = 25. 𝒊𝟎 = 𝟏
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.
𝟏𝟒
𝟒 = 3.5
= 𝒊𝟐 = −𝟏 𝟕
𝟒 = 1.75
= 𝒊𝟑 = −𝒊 = 𝟒𝒊𝟐
= −𝟒
= 4(-1)
= 5(-1) + 2i0 = -5 + 2(1)
= -5 + 2
= −𝟑
𝟑𝟗
𝟒 = 6.75
= 𝒊𝟑 = −𝒊
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.
𝟓
𝟒 = 1.25
𝟕
𝟒 = 1.75
2i1 + 7i3
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
-5 - 2i
= -5 - 2i
-2 + 2i + (-3 - 4i) -2 + 2i - (3 + 4i)
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.
2+ 5i
= 2+ 5i 3 + 2i + (1 - i)
4+ i
= 4+ i
3 + 2i - (-1 + i)
SWBAT: Simplify negative radicals using imaginary numbers, 2) simplify powers if i, and 3) graph complex numbers.