document.write( "Question 1206982: I'm having trouble with the following example problem:
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Algebra.Com's Answer #844761 by mccravyedwin(408)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here's another way to do this problem:\r\n" );
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document.write( "Assume\r\n" );
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document.write( "\"a%2Bbi\"\"%22%22=%22%22\"\"sqrt%28-10i%29\", where a and b are real numbers.\r\n" );
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document.write( "\"a%5E2%2B2a%2Ab%2Ai%2Bb%5E2%2Ai%5E2\"\"%22%22=%22%22\"\"-10i\"\r\n" );
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document.write( "\"a%5E2%2B2a%2Ab%2Ai%2Bb%5E2%2A%28-1%29\"\"%22%22=%22%22\"\"-10i\"\r\n" );
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document.write( "\"a%5E2%2B2a%2Ab%2Ai-b%5E2\"\"%22%22=%22%22\"\"-10i\"\r\n" );
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document.write( "Set real parts on the left and right equal, and same with imaginary parts:\r\n" );
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document.write( "\"system%28a%5E2-b%5E2=0%2C2ab=-10%29\"\r\n" );
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document.write( "\"system%28a%5E2=b%5E2%2Cab=-5%29\"\r\n" );
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document.write( "\"system%28a=%22%22+%2B-+b%2Cab=-5%29\"\r\n" );
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document.write( "ab=-5 tells us that a and b have opposite signs, thus a=-b\r\n" );
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document.write( "\"a%5E2=b%5E2\"\r\n" );
document.write( "\"a=sqrt%285%29\" and \"b=-sqrt%285%29\"\r\n" );
document.write( "or\r\n" );
document.write( "\"a=-sqrt%285%29\" and \"b=sqrt%285%29\"\r\n" );
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document.write( "Thus the answers are\r\n" );
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document.write( "\"sqrt%285%29-i%2Asqrt%285%29\" and \"-sqrt%285%29+%2B+i%2Asqrt%285%29\"\r\n" );
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document.write( "Edwin
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