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fie x,y apartine de r plus ,pentru care x la a doua plus y la a doua = 48 si x+y=2 radical 15

Răspuns :

Explicație pas cu pas:

x²+y²=48

x+y=2v15 => x²+2xy+y²=60 => 2xy=12

x²-2xy+y²=48-12=36 =>(x-y)²=36 => x-y=6 sau x-y=-6

x+y=2V15

x-y=6

=>2x=2V15+6=>2x=2(v15+3)=>x=v15+3=>y=v15-3

x+y=2v15

x-y=-6

=>2x=2v15-6=>x=v15-3=>y=v15+3