Сократите дробь : 1) a^2+5a+6/a^2+4a+4 2) x^2+3x+2/x^2+6x+5 - вопрос №1256244223226532212877199477 от СашаСтрела 23.08.2020 05:47

Question

Алгебра: Сократите дробь : 1) a^2+5a+6/a^2+4a+4 2) x^2+3x+2/x^2+6x+5 3) m^2+2m+1/m^2+8m+7

СашаСтрела · Answer

1) a² + 5a + 6 = 0D = 5² - 4 * 6 * 1 = 25 - 24 = 1a₁ = (-5 + √1) / 2*1 = (-5 + 1) / 2 = -4 / 2 = -2a₂ = (-5 - √1) / 2*1 = (-5 - 1) / 2 = -6 / 2 = -3a² + 5a + 6 = (a + 2)(a + 3)a² + 4a + 4 = 0D = 4² - 4*4*1 = 16 - 16 = 0a = -4 / 2*1 = -2a² + 4a + 4 = (a + 2)(a + 2)ответ: a+3 / a+22) x² + 3x + 2 = 0D = 9 - 8 = 1x₁ = (-3+1) / 2 = -2 / 2 = -1x₂ = -4 / 2 = -2x² + 3x + 2 = (x + 1)(x + 2)x² + 6x + 5 = 0D = 36 - 20 = 16x₁ = (-6 + 4) / 2 = -2 / 2 = -1x₂ = -10 / 2 = -5x² + 6x + 5 = (x + 1)(x + 5)ответ: x+2...