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July 2022
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Решить относительно х.
а(х-а)/б + б(х-б)/а=х
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sedinalana
Verified answer
X=a(x-a)/b+b(x-b)/a
abx=a²x-a³+b²x-b³,a≠0 U b≠0
a²x+b²x-abx=a³+b³
x(a²+b²-ab)=(a+b)(a²+b²-ab)
x=a+b
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Answers & Comments
Verified answer
X=a(x-a)/b+b(x-b)/aabx=a²x-a³+b²x-b³,a≠0 U b≠0
a²x+b²x-abx=a³+b³
x(a²+b²-ab)=(a+b)(a²+b²-ab)
x=a+b