Math, asked by sujalmotagi, 1 year ago

If x^3+y^3+^3=3xyz, then the relation between x,y and z is (x+y+z). True or false?

Answers

Answered by rishu6845
2

Step-by-step explanation:

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Answered by Marya83
4

x^3 + y^3 + z^2 = 3xyz

x^3 + y^3 + z^3 - 3xyz = 0

(x+ y + z)(x^2 + y^2 + z^2-2 xy - 2yz - 2zx ) =0

so

x + y + z = 0

and

x^2 - 2xy + y^2 + z^2 - 2xz + z^2

= 0

(x - y)^2 + (y - z)^2= 0

so

x = y

y = z

there for

x = y = z

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