Why might Carnegie and Rockefeller think

economic competition

was inefficient &

wasteful?

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Why might Carnegie and Rockefeller think

economic competition

was inefficient &

wasteful?

nope.

explanation:

answer

[tex]x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1[/tex]

explanation

the given equation is

[tex]{x}^{4} - 9 {x}^{2} + 8 = 0[/tex]

we can rewrite this as:

[tex]({x}^{2})^{2} - 9 {x}^{2} + 8 = 0[/tex]

let

[tex]u = {x}^{2}[/tex]

then the equation becomes:

[tex]{u}^{2} - 9 {u}^{2} + 8 = 0[/tex]

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

we split the middle term with these factors to obtain,

[tex]{u}^{2} - u - 8u+ 8 = 0[/tex]

we factor by grouping to obtain:

[tex]u(u - 1) - 8(u - 1) = 0[/tex]

[tex](u - 8)(u - 1) = 0[/tex]

apply the zero product property to get:

[tex]u - 8 = 0 \: \: or \: \: u - 1 = 0[/tex]

[tex]u = 8 \: or \: u = 1[/tex]

but

[tex]u = {x}^{2}[/tex]

[tex]{x}^{2} = 8 \: or \: {x}^{2} = 1[/tex]

[tex]x = \pm \sqrt{8} \: \: or \: \: x = \pm \: \sqrt{ 1}[/tex]

[tex]x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1[/tex]

i think it’s a i hope that right : )

they spoke the dravidian language. hope this , correct me if im wrong