4 x square + 9 y square + 16 z square is equal to 6 X Y + 12 y z + 8 z x
to prove 2x=3y=4z
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Answer:
2x=3y=4z
Step-by-step explanation:
4x^2+9y^2+16z^2=6xy+12yz+8zx
=> [(2x)^2 + (3y)^2 + (4z)^2] = [ 6xy + 12yz +8zx ]
=> [(2x)^2]/6xy = [(3y)^2]/12yz = [(4z)^2]/8zx
=> [2x/3y]=[3y/4z]=[4z/2x]
=> 2x=3y=4z
this is Answer
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