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izikhaimov
@izikhaimov
August 2022
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Решите уравнение 1)25х/(х^2+24)=1
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maurer22
25х/(х²+24) = 1
домножаем правую часть уравнения на
(х²+24):
25х/(х²+24) =
(х²+24)/
(х²+24)
25х =
х² + 24
х² - 25х + 24 = 0
по теореме Виета:
{х₁+х₂ = 25 ⇒ [х₁=24
{х₁*х₂ = 24 ⇒ [х₂=1
х = 1; 24
4 votes
Thanks 8
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Answers & Comments
домножаем правую часть уравнения на (х²+24):
25х/(х²+24) = (х²+24)/(х²+24)
25х = х² + 24
х² - 25х + 24 = 0
по теореме Виета:
{х₁+х₂ = 25 ⇒ [х₁=24
{х₁*х₂ = 24 ⇒ [х₂=1
х = 1; 24