Предмет: Алгебра, автор: moylucshibrat

Один з коренів квадратного рівняння 3х+ х -72 = 0 дорівнює 8. Знайдіть другий корінь і число b.

alexminaev: помилка там

alexminaev: 3х в квадрате

alexminaev: только так получается

Ответы

Автор ответа: alexminaev

Ответ:

Другий корінь -3, число b -15.

Объяснение:

3х² + bx - 72 = 0

х1 = 8

3*64 + 8b - 72 = 0

8b = 72 - 192

b = - 120 / 8

b = - 15

-----------

3x² - 15x - 72 = 0

3( x² - 5x - 24 ) = 0

D = 25 + 96 = 121

√D = 11

х1 = ( 5 + 11 ) / 2 = 8

х2 = ( 5 - 11 ) / 2 = - 3

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