SOLUTION: if x²+y²+z²-64/xy-yz-zx=-2 and x+y=3z,than value of z is?
Algebra
.Com
Question 896463
:
if x²+y²+z²-64/xy-yz-zx=-2 and x+y=3z,than value of z is?
Answer by
Edwin McCravy(20056)
(
Show Source
): You can
put this solution on YOUR website!
Since
,
. Substituting:
Divide through by 4
Fctor
z-4 = 0; z+4 = 0 z = 4; z = -4 Edwin
RELATED QUESTIONS
If x = 2015, y = 2014 and z = 2013, then the value of x² + y² +z² – xy – yz – zx...
(answered by
ikleyn
)
the value of expression x^2 + y^2 + z^2 -xy -yz- zx ,if x= 97 ,y =98 ,...
(answered by
MathLover1,lokesh mishra
)
If x+y+z=7 and xy+yz+zx=11,then least and largest value of z are...
(answered by
ikleyn
)
If x+y+z=7 and xy+yz+zx=11,then least and largest value of z are...
(answered by
Edwin McCravy,ikleyn
)
If x+y+z=5 and xy+yz+zx=3,then least and largest value of x are...
(answered by
karaoz
)
x^2+xy+yz+zx=30 y^2+xy+yz+zx=15 z^2+xy+yz+zx=18 find...
(answered by
richwmiller,ikleyn
)
If x+y+z=7 and x^2+y^2+z^2=19, then what is the arithmetic mean (average) of the three...
(answered by
ikleyn
)
If x+y+z=12,x2+y2+z2=64,find...
(answered by
ikleyn
)
Factoring(xy+yz+zx)^2+(x+y+z)^2(x^2+y^2+z^2)
(answered by
solver91311
)