History, 29.08.2019 05:30 kayleahrayne

Why were these native american groups forcibly relocated?

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Answer from: fireemblam101ovu1gt

Ihonestly don’t know sorry

Answer from: Quest

answer

$x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1$

explanation

the given equation is

${x}^{4} - 9 {x}^{2} + 8 = 0$

we can rewrite this as:

$({x}^{2})^{2} - 9 {x}^{2} + 8 = 0$

let

$u = {x}^{2}$

then the equation becomes:

${u}^{2} - 9 {u}^{2} + 8 = 0$

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

${u}^{2} - u - 8u+ 8 = 0$

we factor by grouping to obtain:

$u(u - 1) - 8(u - 1) = 0$

$(u - 8)(u - 1) = 0$

apply the zero product property to get:

$u - 8 = 0 \: \: or \: \: u - 1 = 0$

$u = 8 \: or \: u = 1$

but

$u = {x}^{2}$

${x}^{2} = 8 \: or \: {x}^{2} = 1$

$x = \pm \sqrt{8} \: \: or \: \: x = \pm \: \sqrt{ 1}$

$x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1$

Answer from: Quest

imperialism and colonization in 1936

part of the politics series

basic forms of government

power structure

separation

associated state dominion chiefdom

federalism

federation confederation devolution

integration

empire hegemony unitary state

administrative division

power source

democracy

power of many

direct representative liberal social demarchy others

oligarchy

power of few

anocracy aristocracy plutocracy kakistocracy kraterocracy stratocracy timocracy meritocracy technocracy geniocracy noocracy kritarchy particracy ergatocracy netocracy

autocracy

power of one

despotism dictatorship military dictatorship

others

anarchy theocracy

power ideology

monarchy vs. republic

socio-political ideologies

absolute legalist

constitutional

parliamentary directorial semi-presidential presidential

authoritarian vs. libertarian

socio-economic ideologies

tribalism despotism feudalism colonialism distributism anarchism socialism communism totalitarianism

global vs. local

geo-cultural ideologies

commune city-state national government intergovernmental organisation world government

politics portal

vte

an empire is a sovereign state functioning as an aggregate of nations or people that are ruled over by an emperor or another kind of monarch. the territory and population of an empire is commonly of greater extent than the one of a kingdom.[1]

an empire can be made solely of contiguous territories, such as the austro-hungarian empire or the russian empire, or of territories far remote from the homeland, such as a colonial empire. aside from the more formal usage, the word empire can also refer colloquially to a large-scale business enterprise (e.g. a transnational corporation), a political organisation controlled by a single individual (a political boss), or a group (political bosses).[2] the word empire is associated with such other words as imperialism, colonialism, and globalization. empire is often used to describe a displeasure to overpowering situations.[3]

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