# Variácie 2. triedy

#0  xxx() called at [/LinSys.php:671]
#1  LinSys::tryIntegerEquations(Array ([0] => D,[1] => a,[2] => b,[3] => m,[4] => n,[5] => p,[6] => x), Array ([0] => nx{1.2} = frac{ -b pm sqrt{ D } }{ 2a } = frac{ 1 pm sqrt{ 27889 } }{ 2 },[1] => nx{1.2} = frac{ 1 pm 167 }{ 2 },[2] => nx{1.2} = 0.5 pm 83.5,[3] => nx{1} = 84,[4] => nx{2} = -83), 1) called at [/LinSys.php:344]
#2  LinSys::SolveInner(nx{1.2} = frac{ -b pm sqrt{ D } }{ 2a } = frac{ 1 pm sqrt{  27889 } }{ 2 }
nx{1.2} = frac{ 1 pm 167 }{ 2 }
nx{1.2}  = 0.5 pm 83.5
nx{1}  = 84
nx{2}  = -83, , 1, linsys, 1, , 1, 1) called at [/LinSys.php:220]
#3  LinSys::Solve(n_{1,2} = \frac{ -b \pm \sqrt{ D } }{ 2a } = \frac{ 1 \pm \sqrt{  27889 } }{ 2 }
n_{1,2} = \frac{ 1 \pm 167 }{ 2 }
n_{1,2}  = 0.5 \pm 83.5
n_{1}  = 84
n_{2}  = -83, , 1, linsys, 1, , 1) called at [/Example_Generic.php:87]
#4  Example_Generic->GenerateSolveVector(stdClass Object ([example_id] => 111,[title_sk] => Variácie 2. triedy,[title_en] => 2nd class variations,[title_cz] => Variace 2. třídy,[add_date] => 2012-05-27 10:01:46,[img] => cards.jpg,[visible] => 1,[text_sk] => Z koľko prvkov je možné vytvoriť $V variácií druhej triedy?,[text_en] => From how many elements you can create$V variations of the second class?,[text_cz] => Z kolik prvků je možné vytvořit $V variací druhé třídy?,[input_vector] =>$n = rand(10,100);
$V =$n*($n-1);$n = 3456*$n;,[output_vector] =>$x->in= 'n=';
$x->val =$n/3456;
$x->wolfram = "n*(n-1)=$V;n>0";

$eq = QTex(1,-1, -$V, 'n');

$x->tex = "V_2(n)=$V
n \\cdot (n-1) = $V \\wedge n>0 n^2-n-$V=0 \\wedge n>0
$eq n = RES";,[user_id] => 12,[approved] => 1,[cnt_views] => 29964,[cnt_solved] => 3533,[cnt_solved_ok] => 322,[focus] => 1,[preview_sk] => Z koľko prvkov je možné vytvoriť 6972 variácií druhej triedy?,[preview_en] => From how many elements you can create 6972 variations of the second class?,[preview_cz] => Z kolik prvků je možné vytvořit 6972 variací druhé třídy?,[preview_vector_sk] => O:8:"stdClass":2:{s:1:"n";i:290304;s:1:"V";i:6972;},[preview_vector_en] => O:8:"stdClass":2:{s:1:"n";i:290304;s:1:"V";i:6972;},[preview_vector_cz] => O:8:"stdClass":2:{s:1:"n";i:290304;s:1:"V";i:6972;},[last_regenerate] => 2019-07-14 18:39:15,[external_url] => ,[suggestion_id] => 0,[fulltext_sk] => ~ variacie 2 triedy z kolko prvkov je mozne vytvorit 6972 variacii druhej kvadraticka rovnica algebra kombinatorika variacie kombinatoricke pravidlo sucinu 8 rocnik 9 stredna skola 111 ~,[fulltext_en] => ~ 2n 2 nd class variations from how many elements you can create 6972 of the second quadratic equation algebra combinatorics multiplication principle 8t 8 th grade 13y 3 y 9t 9 14y 4 high school 111 ~,[fulltext_cz] => ~ variace 2 tridy z kolik prvku je mozne vytvorit 6972 variaci druhe kvadraticka rovnice algebra kombinatorika variace kombinatoricke pravidlo soucinu 8 rocnik 9 stredni skola 111 ~,[english_last_modified] => 0000-00-00 00:00:00,[title] => Variácie 2. triedy,[text] => Z koľko prvkov je možné vytvoriť$V variácií druhej triedy?), stdClass Object ([n] => 290304,[V] => 6972)) called at [/Example_Generic.php:869]
#5  Example_Generic->Run(stdClass Object ([example_id] => 111,[title_sk] => Variácie 2. triedy,[title_en] => 2nd class variations,[title_cz] => Variace 2. třídy,[add_date] => 2012-05-27 10:01:46,[img] => cards.jpg,[visible] => 1,[text_sk] => Z koľko prvkov je možné vytvoriť $V variácií druhej triedy?,[text_en] => From how many elements you can create$V variations of the second class?,[text_cz] => Z kolik prvků je možné vytvořit $V variací druhé třídy?,[input_vector] =>$n = rand(10,100);
$V =$n*($n-1);$n = 3456*$n;,[output_vector] =>$x->in= 'n=';
$x->val =$n/3456;
$x->wolfram = "n*(n-1)=$V;n>0";

$eq = QTex(1,-1, -$V, 'n');

$x->tex = "V_2(n)=$V
n \\cdot (n-1) = $V \\wedge n>0 n^2-n-$V=0 \\wedge n>0
$eq n = RES";,[user_id] => 12,[approved] => 1,[cnt_views] => 29964,[cnt_solved] => 3533,[cnt_solved_ok] => 322,[focus] => 1,[preview_sk] => Z koľko prvkov je možné vytvoriť 6972 variácií druhej triedy?,[preview_en] => From how many elements you can create 6972 variations of the second class?,[preview_cz] => Z kolik prvků je možné vytvořit 6972 variací druhé třídy?,[preview_vector_sk] => O:8:"stdClass":2:{s:1:"n";i:290304;s:1:"V";i:6972;},[preview_vector_en] => O:8:"stdClass":2:{s:1:"n";i:290304;s:1:"V";i:6972;},[preview_vector_cz] => O:8:"stdClass":2:{s:1:"n";i:290304;s:1:"V";i:6972;},[last_regenerate] => 2019-07-14 18:39:15,[external_url] => ,[suggestion_id] => 0,[fulltext_sk] => ~ variacie 2 triedy z kolko prvkov je mozne vytvorit 6972 variacii druhej kvadraticka rovnica algebra kombinatorika variacie kombinatoricke pravidlo sucinu 8 rocnik 9 stredna skola 111 ~,[fulltext_en] => ~ 2n 2 nd class variations from how many elements you can create 6972 of the second quadratic equation algebra combinatorics multiplication principle 8t 8 th grade 13y 3 y 9t 9 14y 4 high school 111 ~,[fulltext_cz] => ~ variace 2 tridy z kolik prvku je mozne vytvorit 6972 variaci druhe kvadraticka rovnice algebra kombinatorika variace kombinatoricke pravidlo soucinu 8 rocnik 9 stredni skola 111 ~,[english_last_modified] => 0000-00-00 00:00:00,[title] => Variácie 2. triedy,[text] => Z koľko prvkov je možné vytvoriť$V variácií druhej triedy?)) called at [/index_real.php:185]
#6  HackMath->ExampleDetail() called at [/index_real.php:316]
#7  HackMath->ExampleAction() called at [/index_real.php:461]
#8  HackMath->Run() called at [/index_real.php:815]
#9  include(/index_real.php) called at [/index.php:41]