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Axioms

let S ={x∈ R:...

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let S =\{x∈ R:x≥0and 2\vert\surd x-3\vert+\surd x(\surd x-6)+6=0\}then S

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S = {x \in R : x \geq 0 and 2 | \sqrt{x} - 3 | + \sqrt{x} (\sqrt{x} - 6) + 6 = 0}

S

S = {x ϵ R : x \geq 0 a n d 2 | \sqrt{x} - 3 | + \sqrt{x} (\sqrt{x} - 6) + 6 = 0}

S

x ϵ R : x \geq 0

2 | \sqrt{x} - 3 | + \sqrt{x} (\sqrt{x} - 6) + 6 = 0

ϵ

R

∣ ∣ \sqrt{x} 3 ∣ ∣

\sqrt{x}

\sqrt{x}

6) + 6 = 0} .
Then S :

Q. Let S={(x,y):x2+y2−6x−8y+21≤0}
Then max{12x7−5y7,(x,y)ϵS}+min{12(x2+y2+1)+(x−y);(x,y)ϵS}
−min{√3y+|x−3||x−3|;(x,y)ϵS} is

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