NoName353647
16.08.2022 15:16

Реши уравнение х:100=25х+450=600х-4000=250х

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dived
09.07.2020 21:55

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Ответ:
Аля2011
08.09.2021 07:05
(2x + a+1 - tg x)^2 = (2x + a-1 + tg x)^2
Раскрываем скобки
4x^2 + (a+1)^2 + tg^2 x + 2*2x*(a+1) - 2*2x*tg x - 2*(a+1)*tg x =
= 4x^2 + (a-1)^2 + tg^2 x + 2*2x*(a-1) + 2*2x*tg x + 2*(a-1)*tg x
Приводим подобные
(a+1)^2 + 4x*(a+1) - 4x*tg x - 2a*tg x = (a-1)^2 +4x*(a-1) + 4x*tg x + 2a*tg x
Дальше раскрываем скобки
a^2+2a+1+4ax+4x-(4x+2a)*tg x = a^2-2a+1+4ax-4x+(4x+2a)*tg x
И опять приводим подобные
4a + 8x = (8x + 4a)*tg x
Делим всё на 4
a + 2x = (a + 2x)*tg x
При a + 2x =/= 0 можно сократить.
1 = tg x
x = pi/4 + pi*k - единственное решение.
Решение будет не единственным, если a + 2x = 0, то есть а зависит от х.
ответ: решение единственно при любом а, не равном -2x.
Определить а, как конкретное число, невозможно.
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