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| 1 : | jjholt | 101 | ##Solve for equations |
| 2 : | ##Algebra | ||
| 3 : | jj | 61 | ##ENDDESCRIPTION |
| 4 : | |||
| 5 : | |||
| 6 : | jjholt | 101 | ## KEYWORDS('Equations and Inequalities') |
| 7 : | ## Tagged by ynw2d | ||
| 8 : | |||
| 9 : | ## DBsubject('Algebra') | ||
| 10 : | ## DBchapter('Equations and Inequalities') | ||
| 11 : | jj | 237 | ## DBsection('Algebraic and Graphical Solutions of Equations') |
| 12 : | jjholt | 101 | ## Date('') |
| 13 : | ## Author('') | ||
| 14 : | ## Institution('ASU') | ||
| 15 : | ## TitleText1('') | ||
| 16 : | ## EditionText1('') | ||
| 17 : | ## AuthorText1('') | ||
| 18 : | ## Section1('') | ||
| 19 : | ## Problem1('') | ||
| 20 : | |||
| 21 : | |||
| 22 : | jj | 61 | DOCUMENT(); # This should be the first executable line in the problem. |
| 23 : | |||
| 24 : | loadMacros( | ||
| 25 : | "PG.pl", | ||
| 26 : | "PGbasicmacros.pl", | ||
| 27 : | "PGchoicemacros.pl", | ||
| 28 : | "PGanswermacros.pl", | ||
| 29 : | "PGauxiliaryFunctions.pl", | ||
| 30 : | "PGasu.pl", | ||
| 31 : | "extraAnswerEvaluators.pl" | ||
| 32 : | ); | ||
| 33 : | |||
| 34 : | TEXT(&beginproblem); | ||
| 35 : | $showPartialCorrectAnswers = 0; | ||
| 36 : | |||
| 37 : | $a = random(1,10,1); | ||
| 38 : | $b = list_random(2, 3, 5, 6, 7, 8, 10, 11, 12); | ||
| 39 : | |||
| 40 : | TEXT(EV2(<<EOT)); | ||
| 41 : | Find all real numbers \(x\) which satisfy the following equation. | ||
| 42 : | $BR | ||
| 43 : | \[ (x-$a)^5 - $b (x-$a)^3 = 0 \] | ||
| 44 : | $BR | ||
| 45 : | Answer: \{ans_rule(35) \} | ||
| 46 : | $BR | ||
| 47 : | $BBOLD Note: $EBOLD | ||
| 48 : | If there is more than one answer, write them separated by commas (e.g., 1, 2). | ||
| 49 : | Do not list individual values of \(x\) more than once. | ||
| 50 : | EOT | ||
| 51 : | $ans1 = "$a+$b^0.5"; | ||
| 52 : | $ans2 = "$a-$b^0.5"; | ||
| 53 : | &ANS(number_list_cmp("$a,$ans1,$ans2")); | ||
| 54 : | |||
| 55 : | |||
| 56 : | ENDDOCUMENT(); # This should be the last executable line in the problem.; | ||
| 57 : | |||
| 58 : |
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