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10-03-2021
Mathematics

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Minimize Q=3x2+3y2, where x+y=6.

Respuesta :

10-03-2021

Answer:

[tex] +(x + y) {}^{2} = 6 {}^{2} \\ x {}^{2} + 2xy + y {?}^{2} = 36 [/tex]

[tex]x {}^{2} + y {}^{2} = 36 - 2xy[/tex]

[tex]q = 3(x {}^{2} + y {}^{2} ) [/tex]

[tex]q = 3(36 - 2xy) = 108 - 6xy[/tex]

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