#1. Show that (2 ± √−1)² = 2 ± √−121, and thus that √√√2 ± √√−121 = 2 ± √√−1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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#1. Show that (2 + √-1)³ = 2 + √−121, and thus that √2 + √−121 = 2 ± √−1
3
#2. Show that (3 + √−2)³ = 9 + 25√√−2, and thus that √9+ 25√−2 = 3 + √−2
#3. Use Cardano's formula to solve the equation x³ = 15x + 4
Transcribed Image Text:#1. Show that (2 + √-1)³ = 2 + √−121, and thus that √2 + √−121 = 2 ± √−1 3 #2. Show that (3 + √−2)³ = 9 + 25√√−2, and thus that √9+ 25√−2 = 3 + √−2 #3. Use Cardano's formula to solve the equation x³ = 15x + 4
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To show that open parentheses 2 plus square root of negative 1 end root close parentheses cubed equals 2 plus square root of negative 121 end root


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