[{"data":1,"prerenderedAt":121},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Falgebra\u002Fecuaciones-irracionales?{}":3,"topics-with-content:algebra":98},{"course":4,"topic":12,"counts":17,"universities":22,"channels":27,"sampleQuestions":53,"sameName":97},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},2,"algebra","Álgebra","Álg.","math","i-lucide-variable",1,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},220,"ecuaciones-irracionales","Ecuaciones irracionales",19,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},3,47,37,496,[23],{"universityId":5,"questions":18,"years":24},[25,26],2026,2023,[28,31,34,37,39,41,43,45,47,49,51],{"name":29,"classes":30},"Alberto Cruz",12,{"name":32,"classes":33},"Academia ipluton",11,{"name":35,"classes":36},"Ciclo Uni-San Marcos",7,{"name":38,"classes":18},"Academia Grupo Ciencias",{"name":40,"classes":18},"Academia Internet",{"name":42,"classes":18},"CEPRE UNMSM",{"name":44,"classes":18},"Salón Sapiens",{"name":46,"classes":5},"Academias Aduni y César Vallejo",{"name":48,"classes":11},"META VILLARREAL",{"name":50,"classes":11},"Pamer Corporación Educativa",{"name":52,"classes":11},"Trilce Multimedia",[54,80],{"id":55,"courseId":5,"topicId":13,"pastExamId":56,"stem":57,"options":58,"correctKey":63,"explanation":74,"difficulty":75,"status":76,"source":77,"stats":78},1820,201,"Sea $S$ el conjunto solución de la siguiente ecuación:\n$$\\sqrt[3]{2x+7}+\\sqrt[3]{x+3}=1$$\nDetermine el valor de verdad (V) o falsedad (F) de las siguientes proposiciones:\nI. Existe un único $x_0\\in\\mathbb{R}$ tal que $x_0\\in S$.\nII. La suma de los elementos del conjunto $S$ es $-7$.\nIII. Si $x\\in S$, entonces $x>-4$.\nMarque la alternativa que contenga la secuencia correcta.",[59,62,65,68,71],{"key":60,"text":61},"A","VVV",{"key":63,"text":64},"B","VFV",{"key":66,"text":67},"C","VFF",{"key":69,"text":70},"D","FVV",{"key":72,"text":73},"E","FFF","",4,"published","UNI 2026-2 · Matemática",{"attempts":79,"accuracy":79},0,{"id":81,"courseId":5,"topicId":13,"pastExamId":82,"stem":83,"options":84,"correctKey":69,"explanation":74,"difficulty":75,"status":76,"source":95,"stats":96},735,183,"En la siguiente ecuación:\n$\\dfrac{x}{x+5}+\\dfrac{5}{2\\sqrt{x+5}}-\\dfrac{6}{5}=0$\nDetermine la suma de las raíces reales.",[85,87,89,91,93],{"key":60,"text":86},"0",{"key":63,"text":88},"$\\dfrac{385}{2}$",{"key":66,"text":90},"$-\\dfrac{385}{2}$",{"key":69,"text":92},"$\\dfrac{385}{4}$",{"key":72,"text":94},"$-\\dfrac{385}{4}$","UNI 2023-2 · Matemática",{"attempts":79,"accuracy":79},[],[56,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,13,117,118,119,120],202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,221,223,225,226,1791501527123]