Why might Carnegie and Rockefeller think economic competition was inefficient & wasteful? Posted on October 23, 2021 By mobete 4 Comments on Why might Carnegie and Rockefeller think economic competition was inefficient & wasteful? Why might Carnegie and Rockefeller think economic competition was inefficient & wasteful? History
answer[tex]x = \pm 2\sqrt{2} \: \: or \: \: x = \pm 1[/tex]explanationthe 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]Reply
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