document.write( "Question 1107096: Evaluate +... \n" ); document.write( "
Algebra.Com's Answer #722085 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let the answer be A: \r\n" );
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document.write( "\"A\"\"%22%22=%22%22\"\"%22%22%2B%22%22%2A%22%22%2A%22%22%2A%22%22\"\r\n" );
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document.write( "Then square both sides:\r\n" );
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document.write( "\"A%5E2\"\"%22%22=%22%22\"\"%22%22%2B%22%22%2A%22%22%2A%22%22%2A%22%22\"\r\n" );
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document.write( "Let \r\n" );
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document.write( "\"B\"\"%22%22=%22%22\"\"%22%22%2B%22%22%2A%22%22%2A%22%22%2A%22%22\"\r\n" );
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document.write( "Then \"A%5E2\"\"%22%22=%22%22\"\"7%2F3%2BB\"\r\n" );
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document.write( "Then square both sides of the equation for B:\r\n" );
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document.write( "\"B%5E2\"\"%22%22=%22%22\"\"%22%22%2B%22%22%2A%22%22%2A%22%22%2A%22%22\"\r\n" );
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document.write( "Then \"B%5E2\"\"%22%22=%22%22\"\"7%2F9%2BA\"\r\n" );
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document.write( "So we have the system of equations\r\n" );
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document.write( "\"system%28A%5E2=7%2F3%2BB%2CB%5E2=7%2F9%2BA%29\"\r\n" );
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document.write( "Solve the system by substitution. [If you have trouble solving\r\n" );
document.write( "that system, tell me in the message form below and I'll get back\r\n" );
document.write( "to you by email.]\r\n" );
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document.write( "You get two real solutions and two imaginary solutions. However, \r\n" );
document.write( "since by definition, square root radicals always indicate only\r\n" );
document.write( "non-negative real numbers, both A and B are non-negative real\r\n" );
document.write( "numbers.  So the only acceptable solution to the given problem \r\n" );
document.write( "is \r\n" );
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document.write( "A = 2  (B = 5/3).\r\n" );
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document.write( "Edwin
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