document.write( "Question 627057: Please help solve: y^2-9y-10=0 \n" ); document.write( "
Algebra.Com's Answer #394627 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"y%5E2-9y-10=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"y%5E2-9y-10\" is in the form of \"Ay%5E2%2BBy%2BC\" where \"A=1\", \"B=-9\", and \"C=-10\"\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-%28-9%29+%2B-+sqrt%28+%28-9%29%5E2-4%281%29%28-10%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-9\", and \"C=-10\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B-+sqrt%28+%28-9%29%5E2-4%281%29%28-10%29+%29%29%2F%282%281%29%29\" Negate \"-9\" to get \"9\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B-+sqrt%28+81-4%281%29%28-10%29+%29%29%2F%282%281%29%29\" Square \"-9\" to get \"81\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B-+sqrt%28+81--40+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-10%29\" to get \"-40\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B-+sqrt%28+81%2B40+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%2881--40%29\" as \"sqrt%2881%2B40%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B-+sqrt%28+121+%29%29%2F%282%281%29%29\" Add \"81\" to \"40\" to get \"121\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B-+sqrt%28+121+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B-+11%29%2F%282%29\" Take the square root of \"121\" to get \"11\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%289+%2B+11%29%2F%282%29\" or \"y+=+%289+-+11%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2820%29%2F%282%29\" or \"y+=++%28-2%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+10\" or \"y+=+-1\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"y+=+10\" or \"y+=+-1\" \r
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\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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