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Find the solutions of the equation x^2+36=0

 Sep 12, 2018
 #1
avatar+5085 
+2

There are no solutions over the real numbers.

 

Over the complex numbers the two solutions are

 

x = +/- 6i

 

where i is the square root of -1

 Sep 12, 2018
 #2
avatar+100529 
+2

x^2 + 36  = 0  subtract 36 from both sides

 

x^2  = -36       take both roots

 

x  = ±√ - 36  = ±√ [ (-1)(36) ]  = ± i * 6  =  ± 6i

 

[ Remember that   √ (-1)  =  i  ]

 

 

cool cool cool

 Sep 12, 2018
 #3
avatar+67 
+1

Thanks CPhill and Rom

 Sep 12, 2018

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