Question

x+y=15 x ori y = 36 , x la patrat + y la patrat egal?​

Answer 1

x+y=15

xy=36=>x=36/y

36/y+ y=15

36+y^2=15y

y^2-15y+36=0

y^2-3y-12y+36=0

y(y-3)-12(y-3)=0

(y-3)(y-12)=0

y-3=0=>y=3

y-12=0=>y=12

Cazul I: y=3=>x=36/3=12

Cazul II: y=12=>x=36/12=3

x^2+y^2=12^2+3^2=144+9=153

x^2+y^2=3^2+12^2=9+144=153

Answer 2

Răspuns:

(x+y)=x²+2xy+y²  =15²=225 ;   x²+y²=225-2 .36=225-72=153

Explicație pas cu pas: