document.write( "Question 241430: Please help me solve this, I need to solution for r: 4r^2-13r+10=0 \n" ); document.write( "
Algebra.Com's Answer #176792 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"4r%5E2-13r%2B10=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"4r%5E2-13r%2B10\" is in the form of \"Ar%5E2%2BBr%2BC\" where \"A=4\", \"B=-13\", and \"C=10\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"r\":\r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%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( "\"r+=+%28-%28-13%29+%2B-+sqrt%28+%28-13%29%5E2-4%284%29%2810%29+%29%29%2F%282%284%29%29\" Plug in \"A=4\", \"B=-13\", and \"C=10\"\r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2813+%2B-+sqrt%28+%28-13%29%5E2-4%284%29%2810%29+%29%29%2F%282%284%29%29\" Negate \"-13\" to get \"13\". \r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2813+%2B-+sqrt%28+169-4%284%29%2810%29+%29%29%2F%282%284%29%29\" Square \"-13\" to get \"169\". \r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2813+%2B-+sqrt%28+169-160+%29%29%2F%282%284%29%29\" Multiply \"4%284%29%2810%29\" to get \"160\"\r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2813+%2B-+sqrt%28+9+%29%29%2F%282%284%29%29\" Subtract \"160\" from \"169\" to get \"9\"\r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2813+%2B-+sqrt%28+9+%29%29%2F%288%29\" Multiply \"2\" and \"4\" to get \"8\". \r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2813+%2B-+3%29%2F%288%29\" Take the square root of \"9\" to get \"3\". \r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2813+%2B+3%29%2F%288%29\" or \"r+=+%2813+-+3%29%2F%288%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"r+=+%2816%29%2F%288%29\" or \"r+=++%2810%29%2F%288%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"r+=+2\" or \"r+=+5%2F4\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"r+=+2\" or \"r+=+5%2F4\" \r
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