How to prove (1/x +1/y +1/z )=1 having (xyz)=1 and (x+y+z)=1 and calculate x,y,z
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· y+1/z=1; zy+1=z; ____1 x+1/y=1; xy+1=y; ____2 Multiply eq 2 with z zxy+z=zy; zxy=zy-z ... Do you believe that alien spacecraft have visited Earth? ..... Y+(1÷z)=x+(1÷y) this is new ...
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Step-by-step explanation:given,(xyz)=1 ,and x+y+z=1 ------------(i) To proov:1/x +1/y 1/z =1 Proof:LHS=1/x +1/y 1/z
By taking LCM : xyz it will be
=x+y+z/xyz
From eq. (i)
=1/1=1
=RHS
Hence proved.
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