+0  
 
0
76
1
avatar

\((a+bi)^2=2(a-bi)\)

 Dec 1, 2018
 #1
avatar+94545 
+1

(a + bi)^2  = 2( a - bi)

 

 

 

a^2 + 2abi - b^2 =  2a - 2bi

 

Equating the real and imaginary parts, we have that

 

(a^2 - b^2) = 2a              2abi = - 2bi

 

Using the second equation

2a = -2

a = -1

 

 

And using the first equation

 

(-1)^2 - b^2 = -2

-b^2 = -3

b^2 = 3

b = ±3

 

 

cool cool cool

 Dec 1, 2018

7 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.