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ответ: x = 5,6.
Объяснение: Вспомним несколько правил, которые необходимо использовать в данном квадратном уравнении:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
если перед скобкой стоит общий множитель, то каждый член скобки умножается на этот множитель.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
чтобы найти неизвестный множитель, нужно произведение разделить на известный множитель.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
формула сокр. умножения : ( a - b ) ² = a ² - 2 ⋅ a ⋅ b + b ².- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Теперь решим уравнение, и если возникают трудности, то обратимся к правилам, указанным выше.
x ⋅ ( 3 - x ) + ( 4 - x ) ² = - 12
x ⋅ 3 + x ⋅ ( - x ) + 16 - 8 ⋅ x + x ² = - 12
3 ⋅ x - x ² + 16 - 8 ⋅ x + x ² = - 12
- 5 ⋅ x = - ( 12 + 16 )
- 5 ⋅ x = - ( 28 )
- 5 ⋅ x = - 28
x = - 28 : ( - 5 )
x = 5,6
