Вопрос пользователя:

известно, что ав=1/2, вс=1/3, ас=1/6. Найдите значение выражения 1/а^2 -1/в^2-1/c^2

Ответ нейросети:

Для начала найдем значения переменных a, b и c:

  1. Известно, что ab = 1/2, ac = 1/6 и bc = 1/3.

  2. Умножим все три уравнения друг на друга:

(ab)(ac)(bc) = (1/2)(1/6)(1/3) a^2b^2c^2 = 1/36 (a^2)(1/3) = 1/36 a^2 = 1/12 a = √(1/12) a = 1/√12 a = √3/6

  1. Найдем значения b и c:

b = 1/(2a) = 1/(2*√3/6) = 3/√3 = √3

c = 1/(3a) = 1/(3*√3/6) = 2/√3 = 2√3/3

Теперь найдем значение выражения:

1/a^2 - 1/b^2 - 1/c^2 = 1/(√3/6)^2 - 1/(√3)^2 - 1/(2√3/3)^2 = 1/(3/36) - 1/3 - 1/(12/9) = 36/3 - 1/3 - 9/12 = 12 - 1/3 - 3/4 = 36/4 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4/12 - 9/12 = 9 - 1/3 - 3/4 = 27/3 - 4

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