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Daca x²-y²=24 si x+y=2, determina numerele reale xsi y.
Indicatie: determina x-y, apoi rezolva sistemul de ecuatii format din x-y si x+y.​


Răspuns :

Răspuns:

x²-y²=24 => (2-y)²-y²=24 => 4-4y+y²-y²=24 =>

x+y=2 => x=2-y => x=2-y =>

-4y=24-4. => y=20/-4 => y=-5

x=2-y => x=2-x => x=2-(-5) => x=2+5=7