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Ajutor! Ex 1 punctul b va rogggggggggg. Dau coroanaa

Ajutor Ex 1 Punctul B Va Rogggggggggg Dau Coroanaa class=

Răspuns :

√(x²-2x+5)+√(y²+4y+13)=5

√[( x²-2x+1)+4]+√[(y²+4y+4)+9]=5

√[(x-1)²+2²]+√[(y+2)²+3²]=5

(x-1)²≥0 si (y+2)²≥0

√[(x-1)²+2²]≥2

√[(y+2)²+3²]≥3

Suma lor fiind 5,

=>√[(x-1)²+2²]=2 =>(x-1)²=0; x=1

√[(y+2)²+3²]=3=>(y+2)²=0; y= -2