document.write( "Question 1062463: can you please help me to solve this equation, 4x^2-25=0 \n" ); document.write( "
Algebra.Com's Answer #677375 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "There are two different ways to tackle this problem:\r\n" );
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document.write( "1. Factoring and using the principle of zero factors.\r\n" );
document.write( "2. Using the principle of square roots.\r\n" );
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document.write( "First way:\r\n" );
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document.write( "\"4x%5E2-25\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Factor the left side as a difference of squares\r\n" );
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document.write( "\"%282x%29%5E2-5%5E2\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "\"%282x-5%29%282x%2B5%29\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Since the product of (2x-5) and (2x+5) equals zero,\r\n" );
document.write( "one of them must equal to 0.\r\n" );
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document.write( "\"2x-5\"\"%22%22=%22%22\"\"0\"; \"2x%2B5\"\"%22%22=%22%22\"\"0\"\r\n" );
document.write( "  \"2x\"\"%22%22=%22%22\"\"5\";    \"2x\"\"%22%22=%22%22\"\"-5\"\r\n" );
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document.write( "Divide both sides by 2\r\n" );
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document.write( "   \"x\"\"%22%22=%22%22\"\"5%2F2\";    \"x\"\"%22%22=%22%22\"\"-5%2F2\"\r\n" );
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document.write( "Second way: Using the principle of square roots.\r\n" );
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document.write( "\"4x%5E2-25\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Add 25 to both sides:\r\n" );
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document.write( "\"4x%5E2\"\"%22%22=%22%22\"\"25\"\r\n" );
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document.write( "Divide both sides by 4:\r\n" );
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document.write( "\"4x%5E2%2F4\"\"%22%22=%22%22\"\"25%2F4\"\r\n" );
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document.write( "\"cross%284%29x%5E2%2Fcross%284%29\"\"%22%22=%22%22\"\"25%2F4\"\r\n" );
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document.write( "\"x%5E2\"\"%22%22=%22%22\"\"25%2F4\"\r\n" );
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document.write( "Use the principle of square roots:\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%22%22+%2B-+sqrt%2825%2F4%29\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%22%22+%2B-+5%2F2%29\"\r\n" );
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document.write( "Which is easier?\r\n" );
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document.write( "Edwin
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