Two factors of 24 add up to 11 what are they

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17-09-2015
Mathematics

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Two factors of 24 add up to 11 what are they

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dCODEr dCODEr · Answer 1 · 2015-09-17T19:47:54+02:00

dCODEr dCODEr

17-09-2015

[tex]x*y=24[/tex]
[tex]x+y=11[/tex]
[tex]y=24/x[/tex]
[tex]y=11-x[/tex]
[tex]24/x=11-x[/tex]
[tex]11x-x^{2} =24[/tex]
[tex]- x^{2} +11x-24=0[/tex]
[tex](-x+8)(x-3)=0[/tex]
[tex]-x+8=0 x-3=0[/tex]
[tex]x=8 or 3[/tex]
Your factors are 8 and 3.

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