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Grade: 9

                        

If x+y+z=0, then what is (x 2 /2 x 2 +yz) + (y 2 /2y 2 +xz) + (Z 2 /2z 2 +xy)?

5 months ago

Answers : (1)

Arun
24742 Points
							
x+y+z=0
 
x+y=-z…………(1) , cubing both sides
 
x^3+y^3+3.x.y(x+y)=-z^3 , now put x+y= -z
 
x^3+y^3–3x.y.z=-z^3
 
x^3+y^3+z^3 =3.x.y.z , divide both sides by x.y.z
 
x^2/yz+y^2/zx+z^2/xy= 3 , answer.
5 months ago
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