document.write( "Question 577538: x^2-2x-3=5 \n" ); document.write( "
Algebra.Com's Answer #370188 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-3=5\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-3-5=0\" Subtract 5 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-8=0\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2-2x-8\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=-2\", and \"C=-8\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%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( "\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%281%29%28-8%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-2\", and \"C=-8\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+%28-2%29%5E2-4%281%29%28-8%29+%29%29%2F%282%281%29%29\" Negate \"-2\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+4-4%281%29%28-8%29+%29%29%2F%282%281%29%29\" Square \"-2\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+4--32+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-8%29\" to get \"-32\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+4%2B32+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%284--32%29\" as \"sqrt%284%2B32%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+36+%29%29%2F%282%281%29%29\" Add \"4\" to \"32\" to get \"36\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+36+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B-+6%29%2F%282%29\" Take the square root of \"36\" to get \"6\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282+%2B+6%29%2F%282%29\" or \"x+=+%282+-+6%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%288%29%2F%282%29\" or \"x+=++%28-4%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+4\" or \"x+=+-2\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+4\" or \"x+=+-2\" \r
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