Wyznacz zmienne ze wzorów, wiedząc że są one liczbami dodatnimi:
1/R=1/R₁+1/R₂+1/R₃
R=1/(1/R₁+1/R₂+1/R₃)
R=1/(R₂R₃/R₁R₂R₃+R₁R₃/R₁R₂R₃+R₁R₂/R₁R₂R₃)
R=1/((R₂R₃+R₁R₃+R₁R₂)/R₁R₂R₃)
R=R₁R₂R₃/(R₂R₃+R₁R₃+R₁R₂)
1/R₂=1/R-1/R₁-1/R₃
R₂=1/(1/R-1/R₁-1/R₃)
R₂=1/(R₁R₃/RR₁R₃-RR₃/RR₁R-RR₁/RR₁R₃)
R₂=1/((R₁R₃-RR₃-RR₁)/RR₁R₃
R₂=RR₁R₃/(R₁R₃-RR₃-RR₁)
(2b+4c)/2=b+(2b-c)/5-3c |*10
5(2b+4c)=10b+2(2b-c)-30c
10b+20c=10b+4b-2c-30c
-4b=-52c
b=13c
c=1/13b
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1/R=1/R₁+1/R₂+1/R₃
R=1/(1/R₁+1/R₂+1/R₃)
R=1/(R₂R₃/R₁R₂R₃+R₁R₃/R₁R₂R₃+R₁R₂/R₁R₂R₃)
R=1/((R₂R₃+R₁R₃+R₁R₂)/R₁R₂R₃)
R=R₁R₂R₃/(R₂R₃+R₁R₃+R₁R₂)
1/R₂=1/R-1/R₁-1/R₃
R₂=1/(1/R-1/R₁-1/R₃)
R₂=1/(R₁R₃/RR₁R₃-RR₃/RR₁R-RR₁/RR₁R₃)
R₂=1/((R₁R₃-RR₃-RR₁)/RR₁R₃
R₂=RR₁R₃/(R₁R₃-RR₃-RR₁)
(2b+4c)/2=b+(2b-c)/5-3c |*10
5(2b+4c)=10b+2(2b-c)-30c
10b+20c=10b+4b-2c-30c
-4b=-52c
b=13c
c=1/13b