{"id":505,"date":"2014-12-31T10:25:24","date_gmt":"2014-12-31T09:25:24","guid":{"rendered":"http:\/\/www.valcon.it\/pascal\/?p=505"},"modified":"2015-07-02T23:26:29","modified_gmt":"2015-07-02T21:26:29","slug":"equazione-2-grado","status":"publish","type":"post","link":"https:\/\/www.valcon.it\/pascal\/equazione-2-grado\/","title":{"rendered":"Equazione 2\u00b0 grado"},"content":{"rendered":"

Risolvere un’equazione di secondo grado a<\/strong>x2<\/sup>+b<\/strong>x+c<\/strong>=0, dati i coefficienti a<\/strong>, b<\/strong> e c<\/strong>.<\/p>\n

\"secondo_grado\"Analisi<\/h3>\n

Un po’ di matematica…<\/p>\n

\u00a0\"eq2_1\"<\/div>\n

Esempi<\/h3>\n
\n\n\n\n\n\n\n
<\/td>\nIstanza<\/em><\/td>\nElaborazione<\/em><\/td>\nRisposta<\/em><\/td>\n<\/tr>\n
1<\/th>\nx2<\/sup>-5x+6=0<\/td>\na=1
\nb=-5
\nc=6<\/td>\n		D=b2<\/sup>-4ac=…
\nD=1>0<\/strong><\/td>\n		x1<\/sub>=…
\nx2<\/sub>=…<\/td>\n		2<\/strong>
\n3<\/strong><\/td>\n<\/tr>\n
2<\/th>\nx2<\/sup>+2x+1=0<\/td>\na=1
\nb=2
\nc=1<\/td>\n		D=b2<\/sup>-4ac=…
\nD=0<\/strong><\/td>\n		x1,2<\/sub>=-2\/2<\/td>\n-1<\/strong><\/td>\n<\/tr>\n
3<\/th>\nx2<\/sup>+x+1=0<\/td>\na=1
\nb=1
\nc=1<\/td>\n		D=b2<\/sup>-4ac=…
\nD=-3<0<\/strong><\/td>\n		…<\/td>\nImpossibile<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
Program SecondoGrado;\r\nVar\r\n \u00a0 a, b, c: Real;\r\n \u00a0 D, x: Real;\r\nBegin\r\n\u00a0\u00a0 Write('a? '); Readln(a);\r\n\u00a0\u00a0 Write('b? '); Readln(b);\r\n \u00a0 Write('c? '); Readln(c);\r\n\r\n \u00a0 D:=b*b-4*a*c;\r\n \u00a0 If(D > 0) Then\r\n\u00a0 \u00a0 \u00a0 Begin\r\n \u00a0 \u00a0 \u00a0 \u00a0 D:=Sqrt(D);\r\n \u00a0 \u00a0 \u00a0 \u00a0 x:=(-b-D)\/(2*a);\r\n \u00a0 \u00a0 \u00a0 \u00a0 Writeln('x1 = ', x:1:2);\r\n \u00a0 \u00a0 \u00a0 \u00a0 x:=(-b+D)\/(2*a);\r\n \u00a0 \u00a0 \u00a0 \u00a0 Writeln('x2 = ', x:1:2);\u00a0 \u00a0 \u00a0 \u00a0 \r\n\u00a0 \u00a0 \u00a0 End\u00a0\u00a0 \u00a0 \r\n \u00a0 Else\r\n\u00a0 \u00a0 \u00a0 Begin\r\n \u00a0 \u00a0 \u00a0 \u00a0 If(D = 0) Then\r\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Begin\r\n \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 x:=-b\/(2*a);\r\n \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Writeln('x = ', x:1:2);\r\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 End\r\n \u00a0 \u00a0 \u00a0 \u00a0 Else\r\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Begin\r\n \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Writeln(\"Impossibile\");\r\n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 End;\r\n  \u00a0 \u00a0 End;\r\n \u00a0 ReadLn;\r\nEnd.<\/pre>\n
Pi\u00f9 compatto…<\/p>\n
...\r\n \u00a0 If(D > 0) Then\r\n\u00a0 \u00a0 \u00a0 Begin\r\n \u00a0 \u00a0 \u00a0 \u00a0 D:=Sqrt(D);\r\n \u00a0 \u00a0 \u00a0 \u00a0 x:=(-b-D)\/(2*a);\r\n \u00a0 \u00a0 \u00a0 \u00a0 Writeln('x1 = ', x:1:2);\r\n \u00a0 \u00a0 \u00a0 \u00a0 x:=(-b+D)\/(2*a);\r\n \u00a0 \u00a0 \u00a0 \u00a0 Writeln('x2 = ', x:1:2);\u00a0 \u00a0 \u00a0 \u00a0 \r\n\u00a0 \u00a0 \u00a0 End\u00a0\u00a0 \u00a0 \r\n \u00a0 Else If(D = 0) Then\r\n\u00a0 \u00a0 \u00a0 Begin\r\n\u00a0 \u00a0\u00a0 \u00a0 \u00a0 x:=-b\/(2*a);\r\n\u00a0 \u00a0\u00a0 \u00a0 \u00a0 Writeln('x = ', x:1:2);\r\n\u00a0 \u00a0 \u00a0 End\r\n\u00a0 \u00a0Else\r\n\u00a0 \u00a0 \u00a0 Writeln(\"Impossibile\");\r\n...<\/pre>\n
\n
\"secondo_grado_2\"Se a=0<\/strong> si discute l’equazione di primo grado b<\/strong>x+c<\/strong>=0, altrimenti si discute l’equazione di secondo grado\u00a0a<\/strong>x2<\/sup>+b<\/strong>x+c<\/strong>=0<\/p>\n
\"eq2_2\"<\/p>\n
\n
Se il discriminante \u00e8 minore di zero si calcolano le 2 soluzioni complesse coniugate<\/em>\u2026<\/p>\n
\"eq2_3\"<\/p>\n","protected":false},"excerpt":{"rendered":"
Risolvere un’equazione di secondo grado ax2+bx+c=0, dati i coefficienti a, b e c. Analisi Un po’ di matematica… \u00a0 Esempi Istanza Elaborazione Risposta 1 x2-5x+6=0 a=1 b=-5 c=6 D=b2-4ac=… D=1>0 x1=… x2=… 2 3 2 x2+2x+1=0 a=1 b=2 c=1 D=b2-4ac=… D=0 x1,2=-2\/2 -1 3 x2+x+1=0 a=1 b=1 c=1 D=b2-4ac=… D=-3<0 … Impossibile Program SecondoGrado; Var … Leggi tutto<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"_links":{"self":[{"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/posts\/505"}],"collection":[{"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/comments?post=505"}],"version-history":[{"count":7,"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/posts\/505\/revisions"}],"predecessor-version":[{"id":5581,"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/posts\/505\/revisions\/5581"}],"wp:attachment":[{"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/media?parent=505"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/categories?post=505"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.valcon.it\/pascal\/wp-json\/wp\/v2\/tags?post=505"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}