document.write( "Question 420024: 4x squared=14x+8 Please help Parent of student \n" ); document.write( "
Algebra.Com's Answer #293552 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2=14x%2B8\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2-14x-8=0\" Get all terms to the left side.\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=4\", \"b=-14\", 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-%28-14%29+%2B-+sqrt%28+%28-14%29%5E2-4%284%29%28-8%29+%29%29%2F%282%284%29%29\" Plug in \"a=4\", \"b=-14\", and \"c=-8\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B-+sqrt%28+%28-14%29%5E2-4%284%29%28-8%29+%29%29%2F%282%284%29%29\" Negate \"-14\" to get \"14\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B-+sqrt%28+196-4%284%29%28-8%29+%29%29%2F%282%284%29%29\" Square \"-14\" to get \"196\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B-+sqrt%28+196--128+%29%29%2F%282%284%29%29\" Multiply \"4%284%29%28-8%29\" to get \"-128\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B-+sqrt%28+196%2B128+%29%29%2F%282%284%29%29\" Rewrite \"sqrt%28196--128%29\" as \"sqrt%28196%2B128%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B-+sqrt%28+324+%29%29%2F%282%284%29%29\" Add \"196\" to \"128\" to get \"324\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B-+sqrt%28+324+%29%29%2F%288%29\" Multiply \"2\" and \"4\" to get \"8\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B-+18%29%2F%288%29\" Take the square root of \"324\" to get \"18\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2814+%2B+18%29%2F%288%29\" or \"x+=+%2814+-+18%29%2F%288%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2832%29%2F%288%29\" or \"x+=++%28-4%29%2F%288%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+4\" or \"x+=+-1%2F2\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the answers are \"x+=+4\" or \"x+=+-1%2F2\" \r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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