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</div></div><div align="center" class="tochead"><h1>19. FEJEZET: Egyenletek II. (teszt)</h1></div>
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    <div class="flec">Bezárás: <a class="flec" href="#">[ X ]</a> </div>
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<div class="feladat"><b>Feladat: 19.1.</b><br /> <a name="algI_GHP_362_teszt" /><a href="bib_box.php?mode=tnehstj-&amp;citation_num=" target="bib_box" onclick="mutat('bib_box.php?mode=tnehstj-&amp;citation_num='); return false;"></a>Lehet-e a betűk helyére számokat írni úgy, hogy a megadott két

állítás közül pontosan egy legyen igaz?

<div class="p"><!----></div>

<table>

<tr><td align="left"><b>a)</b></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>x</m:mi><m:mo>-</m:mo><m:mi>y</m:mi><m:mo>=</m:mo><m:mn>0</m:mn></m:mrow></m:math></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:msup><m:mrow><m:mi>x</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>2</m:mn><m:mi mathvariant="italic">xy</m:mi><m:mo>+</m:mo>

<m:msup><m:mrow><m:mi>y</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>=</m:mo><m:mn>0</m:mn></m:mrow></m:math> </td></tr>

<tr><td align="left"><b>b)</b></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:msup><m:mrow><m:mi>a</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>+</m:mo><m:mn>2</m:mn><m:mi mathvariant="italic">ab</m:mi><m:mo>+</m:mo>

<m:msup><m:mrow><m:mi>b</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>=</m:mo><m:mn>4</m:mn></m:mrow></m:math></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi><m:mo>+</m:mo><m:mi>b</m:mi><m:mo>=</m:mo><m:mn>2</m:mn></m:mrow></m:math> </td></tr>

<tr><td align="left"><b>c)</b></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>6</m:mn><m:mi>p</m:mi><m:mo>-</m:mo><m:mn>8</m:mn><m:mi>q</m:mi><m:mo>=</m:mo><m:mn>14</m:mn></m:mrow></m:math></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>15</m:mn><m:mi>p</m:mi><m:mo>-</m:mo><m:mn>20</m:mn><m:mi>p</m:mi><m:mo>-</m:mo><m:mn>35</m:mn><m:mo>=</m:mo><m:mn>0</m:mn></m:mrow></m:math> </td></tr>

<tr><td align="left"><b>d)</b></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>u</m:mi><m:mo>&middot;</m:mo><m:mi>v</m:mi><m:mo>=</m:mo><m:mn>0</m:mn></m:mrow></m:math></td><td align="left">&nbsp;&nbsp;&nbsp;</td><td align="left"><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:msup><m:mrow><m:mi>u</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>+</m:mo>

<m:msup><m:mrow><m:mi>v</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>=</m:mo><m:mn>0</m:mn></m:mrow></m:math></td></tr></table>

<div class="p"><!----></div>

Válasszuk ki, hogy hány esetben lehet ezt megtenni (a fenti négyből)!

<br /><b>A)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>0</m:mn></m:mrow></m:math>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>B)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>1</m:mn></m:mrow></m:math>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>C)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>2</m:mn></m:mrow></m:math>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>D)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>3</m:mn></m:mrow></m:math>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>E)</b>&nbsp;&nbsp;&nbsp; <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mn>4</m:mn></m:mrow></m:math><br />
<br /><a name="_solution_algI_GHP_362_teszt" /><b>Megoldás: 19.1</b><br />
