Dear-mr-w-i-want-discuss-for-equation-find-minimum-and-maximum-value-of-xy-2-with-constraint-x-2-y-2-6-my-way-short-cut-x-2-y-2-3-max-3-2-2-5-min-3-2-1

Question Number 86343 by jagoll last updated on 28/Mar/20

Dear mr w . i want

discuss for equation

find minimum and maximum value

of xy + 2 with constraint

x^{2} + y^{2} = 6 .

my way (short cut)

\Rightarrow x^{2} = y^{2} = 3

{\begin{cases} \max = {(\sqrt{3})}^{2} + 2 = 5 \\ \min = - {(\sqrt{3})}^{2} + 1 = - 1 \end{cases}

it correct ?

Commented by mr W last updated on 28/Mar/20

t h i s i s c o r r e c t, b e c a u s e b o t h i n x y + 2

a n d i n x^{2} + y^{2} = 6 t h e r e i s t h e s y m m e t r y

f o r x a n d y, i . e . x a n d y a r e e q u a l l y

v a l u e d .

Commented by jagoll last updated on 28/Mar/20

thank you very much mister

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