SOLUTION: Why must {{{ a }}} and {{{ c }}} be related if the equation {{{ ax2+ c =0 }}} has complex solutions. Whats the solution for the equation {{{ 2x2 + 2 = 0 }}} ? Thanks in adv

Algebra ->  Equations -> SOLUTION: Why must {{{ a }}} and {{{ c }}} be related if the equation {{{ ax2+ c =0 }}} has complex solutions. Whats the solution for the equation {{{ 2x2 + 2 = 0 }}} ? Thanks in adv      Log On


   



Question 1030820: Why must +a+ and +c+ be related if the equation
+ax2%2B+c+=0+ has complex solutions.
Whats the solution for the equation +2x2+%2B+2+=+0+ ?
Thanks in advance :)

Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.
Why must +a+ and +c+ be related if the equation
+ax2%2B+c+=0+ has complex solutions.
Whats the solution for the equation +2x2+%2B+2+=+0+ ?
Thanks in advance :)
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Whats the solution for the equation +2x%5E2+%2B+2+=+0+ ?

+2x%5E2+%2B+2+=+0+   ---> 


x%5E2+%2B+1 = 0,

x%5E2 = -1.

The solutions is/are two complex numbers i and -i.


On complex numbers see the lesson Complex numbers and arithmetic operations on them in this site.