document.write( "Question 172648: how do you solve the equation X^2 +2x-3 \n" ); document.write( "
Algebra.Com's Answer #127507 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
First of all, \"x%5E2%2B2x-3\" is NOT an equation (as it has no equal sign). Are you trying to solve \"x%5E2%2B2x-3=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B2x-3=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"ax%5E2%2Bbx%2Bc\" where \"a=1\", \"b=2\", and \"c=-3\"\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-%282%29+%2B-+sqrt%28+%282%29%5E2-4%281%29%28-3%29+%29%29%2F%282%281%29%29\" Plug in \"a=1\", \"b=2\", and \"c=-3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+4-4%281%29%28-3%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+=+%28-2+%2B-+sqrt%28+4--12+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-3%29\" to get \"-12\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+4%2B12+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%284--12%29\" as \"sqrt%284%2B12%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+16+%29%29%2F%282%281%29%29\" Add \"4\" to \"12\" to get \"16\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+16+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+4%29%2F%282%29\" Take the square root of \"16\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B+4%29%2F%282%29\" or \"x+=+%28-2+-+4%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%282%29%2F%282%29\" or \"x+=++%28-6%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+1\" or \"x+=+-3\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the answers are \"x+=+1\" or \"x+=+-3\" \r
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