document.write( "Question 173540: solve 5(x-2)² = 3 \n" ); document.write( "
Algebra.Com's Answer #128409 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"5%28x-2%29%5E2=3\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-2%29%5E2=%283%29%2F%285%29\" Divide both sides by \"5\".\r
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\n" ); document.write( "\n" ); document.write( "\"x-2=0%2B-sqrt%283%2F5%29\" Take the square root of both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x-2=sqrt%283%2F5%29\" or \"x-2=-sqrt%283%2F5%29\" Break up the \"plus/minus\" to form two equations.\r
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\n" ); document.write( "\n" ); document.write( "\"x-2=sqrt%2815%29%2F5\" or \"x-2=-sqrt%2815%29%2F5\" Simplify the square root.\r
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\n" ); document.write( "\n" ); document.write( "\"x=2%2Bsqrt%2815%29%2F5\" or \"x=2-sqrt%2815%29%2F5\" Add \"2\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2810%2Bsqrt%2815%29%29%2F%285%29\" or \"x=%2810-sqrt%2815%29%29%2F%285%29\" Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=%2810%2Bsqrt%2815%29%29%2F%285%29\" or \"x=%2810-sqrt%2815%29%29%2F%285%29\".
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