x^2-18x-57=6 solve each equation by completing the square

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03-11-2022
Mathematics

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x^2-18x-57=6 solve each equation by completing the square

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MeridithO590729 MeridithO590729 · Answer 1 · 2022-11-03T18:52:32+01:00

MeridithO590729 MeridithO590729

03-11-2022

[tex]x^2-18x-57=6[/tex][tex]x^2-18x+81-81-57=6[/tex][tex](x^2-18x+81)-81-57=6[/tex][tex](x-9)^2=6+57+81[/tex][tex](x-9)^2=144[/tex][tex]\sqrt[]{(x-9)^2}=\sqrt[]{144}[/tex][tex]x-9=\pm12[/tex][tex]x=12+9=21[/tex][tex]x=-12+9=-3[/tex]

x=-3

x=21

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