document.write( "Question 140632: Find an approximation for the larger zero of $\"y=x%5E2-4.25x%2B4.25\"$ \n" ); document.write( "

Algebra.Com's Answer #102351 by jim_thompson5910(35256) $\"\"$ $\"About$

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Notice if we make a table of x and y values for $\"x%5E2-4.25x%2B4.25\"$ , we get\r
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document.write( "       x          y\r\n" );
document.write( "    1.50000    0.12500\r\n" );
document.write( "    1.60000    0.01000\r\n" );
document.write( "    1.70000   -0.08500\r\n" );
document.write( "    1.80000   -0.16000\r\n" );
document.write( "    1.90000   -0.21500\r\n" );
document.write( "    2.00000   -0.25000\r\n" );
document.write( "    2.10000   -0.26500\r\n" );
document.write( "    2.20000   -0.26000\r\n" );
document.write( "    2.30000   -0.23500\r\n" );
document.write( "    2.40000   -0.19000\r\n" );
document.write( "    2.50000   -0.12500\r\n" );
document.write( "    2.60000   -0.04000\r\n" );
document.write( "    2.70000    0.06500\r\n" );
document.write( "    2.80000    0.19000\r\n" );
document.write( "    2.90000    0.33500\r\n" );
document.write( "    3.00000    0.50000\r\n" );
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\n" ); document.write( "\n" ); document.write( "So we can see that a good approximation for the larger zero appears to be in between 2.6 and 2.7 (notice how y changes from negative to positive)\r
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\n" ); document.write( "\n" ); document.write( "So a good approximation would be x=2.65
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