Решите х^2+7х-8)(2х^2+7х-3)-6=0 - вопрос №2782273608536276 от Stasya1506 08.08.2022 10:34

Question

Алгебра: Решите х^2+7х-8)(2х^2+7х-3)-6=0

Stasya1506 · Answer

Сделаем замену  2x² + 7x - 8 = m , тогда 2x² + 7x - 3 = m + 5m (m + 5) - 6 = 0m² + 5m - 6 = 0D = 25 - 4 * 1 * (- 6) = 25 + 24 = 49 = 7²2x² + 7x - 8 = 1                                     2x² + 7x - 8 = - 62x² + 7x - 9 = 0                                     2x² + 7x - 2 = 0D = 49 - 4 * 2 * (- 9) = 121 = 11²           D = 49 - 4 * 2 * (- 2) = 65...