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<h1>
Analysis of errors on topics 
</h1>
This page shows user's errors regarding topics. Four performed tasks are analysed jointly. Observe that the main errors stem from solving rational equations; the recommended exercise focuses on this topic.
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<div align="center"><h1>Analysis: topics - All performed tasks</h1></div>
<b>Contents</b>
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<a href="#pont0">Table</a>
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<a href="#tont0">Plot</a>
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<a href="#font0">Methodical recommendations:</a>
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<a name="font0"></a><a href="#cont0"><b>Methodical recommendations:</b></a><br></br>
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<b>Perform the task</b>
<br></br>
Rational equations<br></br>
Quadratic equations<br></br>
Equations. Method of substitution. Grouping method<br></br>
Solve the equation<br></br>
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<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><msup><mfenced><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>40 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>+</mo><mi>26 </mi><mi>y</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>+</mo><msup><mfenced><mrow><mrow><mrow><mi>20 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>13 </mi><mi>y</mi></mrow><mrow><mo>+</mo><mi>6 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>=</mo><msup><mfenced><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>20 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>+</mo><mi>13 </mi><mi>y</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>2 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>+</mo><mrow><mrow><mi>2 </mi></mrow></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mi>20 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>13 </mi><mi>y</mi></mrow><mrow><mo>+</mo><mi>6 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>40 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>+</mo><mi>26 </mi><mi>y</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow></mrow></mrow></math>
</td>
</tr>
</table>
<b>Solve the problem with the following technique(s)</b>
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<td>
</td>
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Scheme "To relate categories with the step 7"
</td>
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</table>
<a name="pont0"></a><a href="#cont0"><b>Table</b></a>
<br></br>
<br></br>
<table width="100%" border="1" cellspacing="1" cellpadding="1" bordercolor="#3399CC">
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<td width="3%">
<b>N</b>
</td>
<td><div align="center">
Theme, chapter, section
</div></td>
<td width="5%">
Errors:
</td>
<td width="5%">
Hints:
</td>
<td width="5%">
Total:
</td>
</tr>
<tr>
<td bgcolor="#CCCCCC">
<b>0</b>
</td>
<td >
Rational equations<br></br>Quadratic equations<br></br>Equations. Method of substitution. Grouping method
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>22</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>32</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>54</b></div>
</td>
</tr>
<tr>
<td bgcolor="#CCCCCC">
<b>1</b>
</td>
<td >
Rational equations<br></br>Quadratic equations<br></br>Equations. Grouping method
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>27</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>9</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>36</b></div>
</td>
</tr>
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<td bgcolor="#CCCCCC">
<b>2</b>
</td>
<td >
Rational equations<br></br>Fractional algebraic equations<br></br>Fractional algebraic equations reduced to linear equations
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>14</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>9</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>23</b></div>
</td>
</tr>
<tr>
<td bgcolor="#CCCCCC">
<b>3</b>
</td>
<td >
Rational inequalities<br></br>Strict linear inequalities<br></br>Strict linear inequalities. Factorization of quadratic trinomial
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>7</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>9</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>16</b></div>
</td>
</tr>
</table>
<br></br>
<a name="tont0"></a><a href="#cont0"><b>Plot</b></a>
<div align="center"><table>
<tr>
<td>
<img src="4.jpg"  border="0" align="bottom" alt="detail" width="726" height="520"></img>
</td>
</tr>
</table></div>
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<div>EMTeachline &#x00A9; 2003-2005</div>
<div>Utrecht, The Netherlands </div></span></div>
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