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Розв'яжи рівняння \( 2 x^{2}-18=0 \) (У відповіді запиши суму коренів рівняння)

Ask by Stanley Mccarthy. in Portugal
Mar 14,2025

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Сумма корней уравнения \( 2x^{2}-18=0 \) равна \( 0 \).

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Спочатку розв'яжемо рівняння \( 2 x^{2}-18=0 \). Додамо \( 18 \) до обох частин: \[ 2 x^{2} = 18 \] Тепер поділимо на \( 2 \): \[ x^{2} = 9 \] Знайдемо корені, взявши квадратний корінь: \[ x = \pm 3 \] Отже, корені рівняння — \( 3 \) та \( -3 \). Тепер знаходимо їх суму: \[ 3 + (-3) = 0 \] Таким чином, відповідь: \( 0 \).

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