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Ahora se trata de representar \ en el plano los puntos (-0.470007, 0), (-0.185633,-0.877206)...Para ello, en \ primer lugar hay que extraer los valores num\[EAcute]ricos de sol que no es \ una lista de n\[UAcute]meros sino de reglas. A continuaci\[OAcute]n hay que \ convertir los valores complejos en listas de dos valores, la parte real y la \ parte imaginaria.\ \>", "Text", CellChangeTimes->{{3.427693894628442*^9, 3.42769409155441*^9}}, TextAlignment->Left, TextJustification->1.], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"raices", "=", RowBox[{"x", "/.", "sol"}]}]], "Input", CellChangeTimes->{{3.4276941079037523`*^9, 3.427694122218194*^9}}], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"-", "0.4700072876131121`"}], ",", RowBox[{ RowBox[{"-", "0.1856331647624006`"}], "-", RowBox[{"0.8772062413456873`", " ", "\[ImaginaryI]"}]}], ",", RowBox[{ RowBox[{"-", "0.1856331647624006`"}], "+", RowBox[{"0.8772062413456873`", " ", "\[ImaginaryI]"}]}], ",", RowBox[{"0.4206368085689567`", "\[InvisibleSpace]", "-", RowBox[{"0.5935971967013246`", " ", "\[ImaginaryI]"}]}], ",", RowBox[{"0.4206368085689567`", "\[InvisibleSpace]", "+", RowBox[{"0.5935971967013246`", " ", "\[ImaginaryI]"}]}]}], "}"}]], "Output", 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"::", "\<\"svars\"\>"}], RowBox[{ ":", " "}], "\<\"\\!\\(\\*StyleBox[\\\"\\\\\\\"Equations may not give \ solutions for all \\\\\\\\\\\\\\\"solve\\\\\\\\\\\\\\\" \ variables.\\\\\\\"\\\", \\\"MT\\\"]\\) \ \\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \ ButtonFrame->None, ButtonData:>\\\"paclet:ref/Solve\\\", ButtonNote -> \ \\\"Solve::svars\\\"]\\)\"\>"}]], "Message", "MSG", CellChangeTimes->{3.4722159985*^9}], Cell[BoxData[ RowBox[{"{", RowBox[{"{", RowBox[{ RowBox[{"x", "\[Rule]", "0"}], ",", RowBox[{"y", "\[Rule]", RowBox[{ RowBox[{"-", "1"}], "+", "z"}]}]}], "}"}], "}"}]], "Output", CellChangeTimes->{3.472215998515625*^9}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 3\nSean las funciones h(x) = ", Cell[BoxData[ RowBox[{ SuperscriptBox["x", "3"], "-", RowBox[{"8", SuperscriptBox["x", "2"]}], "+", RowBox[{"19", "x"}], "-", "12"}]]], " y k(x) = ", Cell[BoxData[ RowBox[{ FractionBox[ SuperscriptBox["x", "2"], "2"], "-", "x", "-", FractionBox["1", "8"]}]]], ".\nAproximar las soluciones de la ecuaci\[OAcute]n h(x) = k(x) utilizando \ los comandos NSolve y NRoots." }], "Subsection", CellChangeTimes->{{3.427777530773946*^9, 3.427777532083507*^9}}], Cell[CellGroupData[{ Cell[BoxData[{ RowBox[{"Clear", "[", RowBox[{"h", ",", "k"}], "]"}], "\n", RowBox[{ RowBox[{ RowBox[{"h", "[", "x_", "]"}], "=", RowBox[{ SuperscriptBox["x", "3"], "-", RowBox[{"8", SuperscriptBox["x", "2"]}], "+", RowBox[{"19", "x"}], "-", "12"}]}], ";"}], "\n", RowBox[{ RowBox[{ RowBox[{"k", "[", "x_", "]"}], "=", RowBox[{ FractionBox[ SuperscriptBox["x", "2"], "2"], "-", "x", "-", FractionBox["1", "8"]}]}], ";"}], "\n", RowBox[{"NRoots", "[", RowBox[{ RowBox[{ RowBox[{"h", "[", "x", "]"}], "==", RowBox[{"k", "[", "x", "]"}]}], ",", "x"}], "]"}]}], "Input"], Cell[BoxData[ RowBox[{ RowBox[{"x", "\[Equal]", "0.9043633014935877`"}], "||", RowBox[{"x", "\[Equal]", "2.6608753887088077`"}], "||", RowBox[{"x", "\[Equal]", "4.934761309797604`"}]}]], 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comando ContourPlot para representar gr\[AAcute]ficamente las \ dos curvas y obtener unas aproximaciones de las soluciones del sistema." }], "Subsection", CellChangeTimes->{{3.42777754211094*^9, 3.427777544179324*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"cp1", "=", RowBox[{"ContourPlot", "[", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["x", "2"], "+", RowBox[{"4", "x", "y"}], "+", SuperscriptBox["y", "2"]}], "\[Equal]", "4"}], ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "4"}], ",", "4"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "4"}], ",", "4"}], "}"}], ",", RowBox[{"ContourShading", "\[Rule]", "False"}]}], "]"}]}]], "Input", CellChangeTimes->{{3.427777553282242*^9, 3.427777570863489*^9}, { 3.4277776314853563`*^9, 3.427777643042679*^9}}], Cell[BoxData[ GraphicsBox[GraphicsComplexBox[CompressedData[" 1:eJxdlwlUVdcVhpmdEbFxwESJaByCw2qqRWVlH4VIIqkkNE2t0YrUIRIUM1iV 1kQIsQ6gJsEYR8TUCk4VnMd9HGpMFAURFdEwiSCggEUEHkrh7vMT07feWtf3 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