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Kronki2
@Kronki2
August 2022
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Из формулы a^2+b^2/N = a/b-a + b/a+b выразите N
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sangers1959
Verified answer
(a²+b²)/N=a/(b-a)+b/(a+b)
(a²+b²)/N=(a*(a+b)+b*(b-a))/((b-a)*(b+a))
(a²+b²)/N=(a²+ab+b²-ab)/(b²-a²)
(a²+b²)/N=(a²+b²)/(b²-a²) ⇒
N=b²-a².
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Answers & Comments
Verified answer
(a²+b²)/N=a/(b-a)+b/(a+b)(a²+b²)/N=(a*(a+b)+b*(b-a))/((b-a)*(b+a))
(a²+b²)/N=(a²+ab+b²-ab)/(b²-a²)
(a²+b²)/N=(a²+b²)/(b²-a²) ⇒
N=b²-a².