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" /></td> <td style="text-align: justify; width: 400px;" valign="middle"> <p><span style="font-size: small; color: #000080;"><strong>Trobeu dos nombres naturals, que multiplicats donin #s i tal que, la diferència dels seus quadrats sigui #d.</strong></span></p> <p><span style="font-size: small; color: #000080;" data-mce-mark="1"><strong>a) Quin és el més petit?</strong></span></p> <p><span style="font-size: small; color: #000080;" data-mce-mark="1"><strong>b) Quin és el més gran?</strong></span></p> </td> </tr> <tr> <td rowspan="1" colspan="2" valign="top" width="NaNpx"> <div align="center"> </div> </td> </tr> </tbody> </table> <p><span style="color: #000066;"><strong> </strong></span></p>
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No, case is unimportant
Yes, case must match
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Answer 1
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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Answer 2
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
Feedback
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100%
50%
33.33333%
25%
20%
10%
0%
Hint 1
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<p><span style="color: #003300;"><span data-mce-mark="1"><em><strong>Si x és el més gran y el més petit, i </strong></em></span><em style="color: #006600; font-size: 13.6000003814697px; line-height: 1.4;"><strong> el producte xy = #s, aleshores «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»y«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»s«/mi»«/mrow»«mi mathvariant=¨bold¨»x«/mi»«/mfrac»«/mrow»«/mstyle»«/math»</strong></em></span></p> <p><span style="color: #003300;" data-mce-mark="1"><em><strong>La diferència de quadrats és </strong></em></span><em style="font-size: 13.6000003814697px; line-height: 17.3090915679932px; color: #003300;"><strong>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«msup mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»x«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»-«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«msup mathcolor=¨#003300¨»«mfenced mathcolor=¨#003300¨»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»s«/mi»«/mrow»«mi mathvariant=¨bold¨»x«/mi»«/mfrac»«/mfenced»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»d«/mi»«/mrow»«/mstyle»«/math»</strong></em></p> <p><span style="color: #003300;" data-mce-mark="1"><em><strong>Eleva la fracció al quadrat, treu el deno</strong></em></span><span style="color: #003300;" data-mce-mark="1"><em><strong>minador i tens una equació biquadrada: </strong></em></span><span style="color: #006600;" data-mce-mark="1"><em><strong><span style="color: #003300;" data-mce-mark="1"><em><strong>x<sup>4</sup> - #d x<sup>2</sup> - #s1 = 0</strong></em></span></strong></em></span></p>
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<p><span style="color: #003300;"><strong>L'equació biquadrada si t = x<sup>2</sup> s'escriu: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msup mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»t«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»-«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»d«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»t«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»-«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»s«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»0«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«/mstyle»«/math»</strong></span></p> <p><span style="color: #003300;"><strong>El seu discriminant és #D i les seves solucions #t1 i #t2.</strong></span></p> <p><span style="color: #003300;"><strong>Com t =x<sup>2</sup>, la solució negativa (#t1) no serveix.</strong></span></p>
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<p><span style="color: #003300;"><strong>Com t =x<sup>2</sup>, la solució negativa (#t1) no serveix.</strong></span></p> <p><span style="color: #003300;"><strong>I per tant, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«msqrt mathcolor=¨#003300¨»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»t«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msqrt»«/mrow»«/mstyle»«/math»</strong></span></p>
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