document.write( "Question 1034798: 1. Solve the following set of equations by using Gauss Elimination Method.
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document.write( " 2x+3y+4z = 12
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document.write( " 3x+y+z = 4
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document.write( " x+4y+z = 5\r
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document.write( "2. By using RegulaFalsi method find the root of 15 correct up to 2 decimal places.
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Algebra.Com's Answer #649486 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "2x+3y+4z = 12\r\n" ); document.write( "3x+y+z = 4\r\n" ); document.write( "x+4y+z = 5 \r\n" ); document.write( "\r\n" ); document.write( "The solution to that is x=11/32, y=9/16, z=77/32\r\n" ); document.write( "\r\n" ); document.write( "Those are bad fractions, so it's likely that you made \r\n" ); document.write( "a mistake in copying the problem. Doing a system by\r\n" ); document.write( "Gaussian elimination is very tedious when the answers\r\n" ); document.write( "aren't simple. Check to make sure you copied it right,\r\n" ); document.write( "and didn't miss a sign or type a number wrong. If you\r\n" ); document.write( "did, you can tell me in the thank you note form below\r\n" ); document.write( "and I'll get back to you by email and explain how. \n" ); document.write( "2. By using RegulaFalsi method find the root of 15 correct \n" ); document.write( "up to 2 decimal places. \r\n" ); document.write( "The square root of 16 is 4.\r\n" ); document.write( "So we guess a little less than 4.\r\n" ); document.write( "So we guess 3.8\r\n" ); document.write( "3.8² = 14.44 too small\r\n" ); document.write( "Try 3.9\r\n" ); document.write( "3.9² = 15.21 too large\r\n" ); document.write( "Try something between 3.8 and 3.9.\r\n" ); document.write( "Since 15.21 is closer to 15 than 14.44, we\r\n" ); document.write( "try something closer to 3.9, say 3.87.\r\n" ); document.write( "3.87² = 14.9769 too small\r\n" ); document.write( "So it's between 3.87 and 3.9\r\n" ); document.write( "Since 14.9769 is closer to 15 than 15.21, we\r\n" ); document.write( "try something closer to 3.87, say 3.872.\r\n" ); document.write( "3.872² = 14.9923384 too small\r\n" ); document.write( "Getting close though!\r\n" ); document.write( "So it's between 3.872 and 3.9\r\n" ); document.write( "Since 14.9923384 is closer to 15 than 15.21, we\r\n" ); document.write( "again try something closer to 3.872, say 3.873.\r\n" ); document.write( "3.873² = 15.000129 too large.\r\n" ); document.write( "\r\n" ); document.write( "Since 3.872 is too small and 3.873 is too large and\r\n" ); document.write( "both round off to 3.87, we can stop here.\r\n" ); document.write( "\r\n" ); document.write( "Answer to 2 decimal places: 3.87\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |