👤

x-y=9
xy=10
x la a 2 + y la a 2 = ?


Răspuns :

x=9+y
xy=10
(9+y)*y=10
y=1
x=10
10²+1²=100+1=101
[tex]x-y=9 [/tex] /²
[tex](x-y)^{2} = 9^{2} [/tex]
[tex] x^{2} -2xy+ y^{2} =81[/tex]
[tex] x^{2} -2*10+ y^{2} =81[/tex]
[tex] x^{2} +y^{2} =81+20[/tex]
[tex] x^{2} +y^{2} =101[/tex]