document.write( "Question 266157: Give exaxt and approximate sollutions to three decimal places... y^2 - 10y + 25=16 \n" ); document.write( "
Algebra.Com's Answer #195623 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"y%5E2-10y%2B25=16\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y%5E2-10y%2B25-16=0\" Subtract 16 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"y%5E2-10y%2B9=0\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"y%5E2-10y%2B9\" is in the form of \"Ay%5E2%2BBy%2BC\" where \"A=1\", \"B=-10\", and \"C=9\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"y\":\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\" Start with the quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-%28-10%29+%2B-+sqrt%28+%28-10%29%5E2-4%281%29%289%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-10\", and \"C=9\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2810+%2B-+sqrt%28+%28-10%29%5E2-4%281%29%289%29+%29%29%2F%282%281%29%29\" Negate \"-10\" to get \"10\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2810+%2B-+sqrt%28+100-4%281%29%289%29+%29%29%2F%282%281%29%29\" Square \"-10\" to get \"100\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2810+%2B-+sqrt%28+100-36+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%289%29\" to get \"36\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2810+%2B-+sqrt%28+64+%29%29%2F%282%281%29%29\" Subtract \"36\" from \"100\" to get \"64\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2810+%2B-+sqrt%28+64+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2810+%2B-+8%29%2F%282%29\" Take the square root of \"64\" to get \"8\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2810+%2B+8%29%2F%282%29\" or \"y+=+%2810+-+8%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2818%29%2F%282%29\" or \"y+=++%282%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+9\" or \"y+=+1\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"y+=+9\" or \"y+=+1\" \r
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