document.write( "Question 585217: solve using the quadratic formula\r
\n" ); document.write( "\n" ); document.write( "1) 9x^2+10x-13=0\r
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\n" ); document.write( "\n" ); document.write( "2) 5y^2-8y=2\r
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Algebra.Com's Answer #373211 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'll do the first one to get you started\r
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\n" ); document.write( "\n" ); document.write( "\"9x%5E2%2B10x-13=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"9x%5E2%2B10x-13\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=9\", \"B=10\", and \"C=-13\"\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-%2810%29+%2B-+sqrt%28+%2810%29%5E2-4%289%29%28-13%29+%29%29%2F%282%289%29%29\" Plug in \"A=9\", \"B=10\", and \"C=-13\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+100-4%289%29%28-13%29+%29%29%2F%282%289%29%29\" Square \"10\" to get \"100\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+100--468+%29%29%2F%282%289%29%29\" Multiply \"4%289%29%28-13%29\" to get \"-468\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+100%2B468+%29%29%2F%282%289%29%29\" Rewrite \"sqrt%28100--468%29\" as \"sqrt%28100%2B468%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+568+%29%29%2F%282%289%29%29\" Add \"100\" to \"468\" to get \"568\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+568+%29%29%2F%2818%29\" Multiply \"2\" and \"9\" to get \"18\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+2%2Asqrt%28142%29%29%2F%2818%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10%2B2%2Asqrt%28142%29%29%2F%2818%29\" or \"x+=+%28-10-2%2Asqrt%28142%29%29%2F%2818%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-5%2Bsqrt%28142%29%29%2F%289%29\" or \"x+=+%28-5-sqrt%28142%29%29%2F%289%29\" Reduce \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+%28-5%2Bsqrt%28142%29%29%2F%289%29\" or \"x+=+%28-5-sqrt%28142%29%29%2F%289%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"5y%5E2-8y=2\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"5y%5E2-8y-2=0\" Subtract 2 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"5y%5E2-8y-2\" is in the form of \"Ay%5E2%2BBy%2BC\" where \"A=5\", \"B=-8\", and \"C=-2\"\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-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%285%29%28-2%29+%29%29%2F%282%285%29%29\" Plug in \"A=5\", \"B=-8\", and \"C=-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288+%2B-+sqrt%28+%28-8%29%5E2-4%285%29%28-2%29+%29%29%2F%282%285%29%29\" Negate \"-8\" to get \"8\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288+%2B-+sqrt%28+64-4%285%29%28-2%29+%29%29%2F%282%285%29%29\" Square \"-8\" to get \"64\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288+%2B-+sqrt%28+64--40+%29%29%2F%282%285%29%29\" Multiply \"4%285%29%28-2%29\" to get \"-40\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288+%2B-+sqrt%28+64%2B40+%29%29%2F%282%285%29%29\" Rewrite \"sqrt%2864--40%29\" as \"sqrt%2864%2B40%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288+%2B-+sqrt%28+104+%29%29%2F%282%285%29%29\" Add \"64\" to \"40\" to get \"104\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288+%2B-+sqrt%28+104+%29%29%2F%2810%29\" Multiply \"2\" and \"5\" to get \"10\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288+%2B-+2%2Asqrt%2826%29%29%2F%2810%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%288%2B2%2Asqrt%2826%29%29%2F%2810%29\" or \"y+=+%288-2%2Asqrt%2826%29%29%2F%2810%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%284%2Bsqrt%2826%29%29%2F%285%29\" or \"y+=+%284-sqrt%2826%29%29%2F%285%29\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"y+=+%284%2Bsqrt%2826%29%29%2F%285%29\" or \"y+=+%284-sqrt%2826%29%29%2F%285%29\" \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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\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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