TIPOS DE ECUACIONES // TIPOS DE SISTEMAS

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TIPOS DE ECUACIONES // TIPOS DE SISTEMAS

The first division between continents was made by ancient Greek navigators, who named them 'landmass, terra firma'.

Generally classified by convention rather than any strict criteria, nowadays seven regions are regarded as continents from a geopolitical point of view.

LOGARÍTMICAS

Australia is the world's smallest continent and is also known as an 'island continent' as it is surrounded by water on all sides.
It includes 14 countries and it is the least populated continent.

Its name comes from the Latin word 'australis' meaning 'southern' because it lies entirely on the south of the equator.

TIPO 1 - 2 términos - Se aplica la definición de logaritmo TIPO 2 - + de 2 términos -Reducir a tipo 1 con las propiedades de los logaritmos -Reducir todos los términos a logaritmos FÓRMULA

EXPRESIÓN ALGEBRAICA: la incógnita se encuentra en un logaritmo

EXPONENCIALES

Of the seven continents of the world, Africa is the second largest.

Africa comprises 54 countries and it is the hottest continent.

The equator passes through the middle of Africa and it receives direct sunlight throughout the year.

The world gets 66% of its chocolate, 50% of the gold and 95% of the diamonds from Africa.

TIPO 1 -2 términos y la base es = -Igualar términos a la misma base -Principio de unicidad, se igualan los exponentes TIPO 2 -2 términos y ≠ base - Se factorizan los factores - Se aplican logaritmos y sus propiedades TIPO 3 - + de 2 términos con = o ≠ base - Se factorizan los términos - Se aplica un cambio de variable y se resuelve - Se deshace el cambio de variable FÓRMULA

EXPRESIÓN ALGEBRAICA: la incógnita se encuentra en el exponente

CON RADICALES

Asia is the world's largest continent of the seven continents in size, as it covers one-third of the earth's surface.

It includes 50 countries, and it is the most populated continent, 60% of the total population of the Earth lives here.

-Se aíslan las raíces en un mismo miembro -Se elevan los dos miembros de la ecuación al cuadrado - Así desaparecen los radicales -Se resuelve la ecuación resultante FÓRMULA

EXPRESIÓN ALGEBRAICA: la incognita aparece dentro de un radical

RACIONALES

Europe is separated from Asia by the Ural mountains and the Caspian Sea.

It is surrounded by water on three sides: Mediterranean Sea in the south, Atlantic Ocean in the west, and the Arctic Ocean in the north.

Three-fourth of the world's potatoes grow in Europe.

RESOLUCIÓN:

-Se halla el mcm de los denominadores -Se multiplican todos los términos por el mcm -Quedan suprimidos los denominadores -Se resuelve la ecuación restante FÓRMULA

EXPRESIÓN ALGEBRAICA: aparecen fracciones algebraicas

BICUADRADAS

Cambio de variable x2=t x4=t2 FÓRMULA

EXPRESIÓN ALGEBRAICA: ax4 + bx2 +c = 0 con a ≠ 0

GRADO 3 +

Antarctica is not only the coldest place on Earth but also the highest, driest, windiest and emptiest, completely covered with ice.

75% of the world's ice and 70% of the Earth's fresh water is located here.

Summer months of December to February give 24 hours of light, while the winter months of late March to late September are pitch dark the whole day.

There are no permanent inhabitants, except for scientists maintaining research stations in Antarctica.

-Se halla una raiz y se factoriza (ruffini) -Se resuelven las ecuaciones por separado (igualdado a 0) - Si es necesario se repite el proceso FÓRMULA

EXPRESIÓN ALGEBRAICA: ax3 + bx2 +cx + d = 0 (puede ser de grado 4, 5, 6....)

GRADO 2

You can find on this continent:

• the world's largest river as per water volume, the Amazon.

• the highest volcanoes of the world -- Mt. Cotopaxi and Mt. Chimborazo.

• the country, Brazil, which is the largest coffee producer in the world.

• the second-highest mountain range in the world, the Andes.

RESOLUCIÓN

FÓRMULA

EXPRESIÓN ALGEBRAICA: ax² + bx +c = 0 con a ≠ 0

GRADO 1

North America has five time zones and it is the only continent with every type of climate.

North America was named after the explorer Amerigo Vespucci and is also known as the 'New World'.

The world's largest sugar exporter among the seven continents - Cuba - also called the 'sugar bowl of the world' is located here.

RESOLUCION

Despejar la incognita - Si a≠ 0 tiene una única solución x= -b/a - Si a y b = 0 tiene infinitas soluciones (todos los números reales son soluciones) - Si a=0 y b≠0 no tiene solución FÓRUMULA

EXPRESIÓN ALGEBRAICA: ax + b = 0

SISTEMAS NO LINEALES

SISTEMAS LINEALES

INCOMPATIBLES (no tienen solución)

COMPATIBLES (tienen solución)

INDETERMINADOS (infinitas soluciones)

DERERMINADOS (unica solucion)