(c-30)(c-120)=184 how do I solve it

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Danii1999 Danii1999

21-12-2014
Mathematics

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(c-30)(c-120)=184 how do I solve it

Sagot :

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luana luana · Answer 1 · 2014-12-21T13:18:59-05:00

luana luana

21-12-2014

[tex](c-30)(c-120)=184\ \ \ \ | multiply \ both\ brackets\\\\ c^2-120c-30c+3600=184\ \ \ \ | subtract\ 184\\\\ c^2-150c+3416=\ \ \ \ | factorisation\\\\c^2-122c-28c+3416 \\\\(c-122)(c-28)=0\\\\c=122\ \ or\ \ \ c=28[/tex]

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konrad509 konrad509 · Answer 2 · 2014-12-21T13:26:27-05:00

konrad509 konrad509

21-12-2014

[tex](c-30)(c-120)=184\\ c^2-120c-30c+3600=184\\ c^2-150c+3416=0\\ c^2-150c+5625-2209=0\\ (c-75)^2=2209\\ c-75=\sqrt{2209} \vee c-75=-\sqrt{2209}\\ c=75+47 \vee c=75-47\\ c=122 \vee c=28 [/tex]

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