document.write( "Question 474517: Solve Each Equation Using The Method of Completing the Square\r
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Algebra.Com's Answer #325438 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Solve Each Equation Using The Method of Completing the Square\r
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document.write( "I'll just do the hardest one, as all three are done the same way:\r\n" );
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document.write( "3.) \"+6x%5E2-7x-24=0+\"\r\n" );
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document.write( "Isolate the x² and x terms on the left\r\n" );
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document.write( "\"6x%5E2-7x=24\"\r\n" );
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document.write( "Divide through by the coefficient of x\r\n" );
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document.write( "\"expr%286%2F6%29x%5E2-expr%287%2F6%29x+=+24%2F6\"\r\n" );
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document.write( "\"x%5E2-expr%287%2F6%29x+=+4\"\r\n" );
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document.write( "To the side\r\n" );
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document.write( "1. Multiply the coefficient of x by \"1%2F2\":  \"expr%28-7%2F6%29expr%281%2F2%29=-7%2F12\"\r\n" );
document.write( "2. Square that result: \"%28-7%2F12%29%5E2+=+49%2F144\"\r\n" );
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document.write( "Add that to both sides of the equation:\r\n" );
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document.write( "\"x%5E2-expr%287%2F6%29x%2B49%2F144+=+4%2B49%2F144\"\r\n" );
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document.write( "The left side factors as \"%28x-7%2F12%29%5E2\"\r\n" );
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document.write( "We combine the factors on the right hand side: \"4%2B49%2F144=4%2Aexpr%28144%2F144%29%2Bexpr%2849%2F144%29=576%2F144%2B49%2F144=625%2F144\"\r\n" );
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document.write( "\"%28x-7%2F12%29%5E2\" = \"625%2F144\"\r\n" );
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document.write( "We use the principle of square roots:\r\n" );
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document.write( "\"x-7%2F12=%22%22+%2B-+sqrt%28625%2F144%29\"\r\n" );
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document.write( "\"x-7%2F12+=+%22%22+%2B-+25%2F12\"\r\n" );
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document.write( "Add \"7%2F12\" to both sides:\r\n" );
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document.write( "\"x=7%2F12+%2B-+25%2F12\"\r\n" );
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document.write( "There are two solutions, one using the + and one using the -\r\n" );
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document.write( "Using the + :\r\n" );
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document.write( "\"x=7%2F12+%2B+25%2F12+=+32%2F12=8%2F3\"\r\n" );
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document.write( "Using the - :\r\n" );
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document.write( "\"x=7%2F12+-+25%2F12+=+-18%2F12=-3%2F2\" \r\n" );
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document.write( "The solutions are \"8%2F3\" and \"-3%2F2\"\r\n" );
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document.write( "The first two are done the same way.\r\n" );
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document.write( "Edwin
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