Răspuns :
Răspuns:
Explicație pas cu pas:
3/x=4/y=12/z=13/1
a) (3-x)x/x²+(4-y)y/y²+(12-z)z/z²=(13-1)1/1 ⇒
(3-x)x+(4-y)y+(12-z)z=12
b) 9/x²=16/y²=144/z²=169
(9+16+144)/(x²+y²+z²)=169 ⇒169/(x²+y²+z²)=169 ⇒
x²+y²+z²=1
Răspuns:
Explicație pas cu pas:
3/x=4/y=12/z=13/1
a) (3-x)x/x²+(4-y)y/y²+(12-z)z/z²=(13-1)1/1 ⇒
(3-x)x+(4-y)y+(12-z)z=12
b) 9/x²=16/y²=144/z²=169
(9+16+144)/(x²+y²+z²)=169 ⇒169/(x²+y²+z²)=169 ⇒
x²+y²+z²=1