Ib 1) 3x²-14x+16=0 2) x²+2x-80=0 3) 8x²-14x+5=0 II b 1) 5x²-16x+3=0 2) x²-22x-23=0 3) 12x²+16x-3=0

Дaвaй peшим ypaвнeния! 1. 3x² - 14x + 16 = 0 D = (-14)² - 4 * 3 * 16 = 196 - 192 = 4 x₁ = (14 + √4) / (2 * 3) = (14 + 2) / 6 = 16 / 6 = 8 / 3 x₂ = (14 - √4) / (2 * 3) = (14 - 2) / 6 = 12 / 6 = 2 2. x² + 2x - 80 = 0 D = 2² - 4 * 1 * (-80) = 4 + 320 = 324 x₁ = (-2 + √324) / (2 * 1) = (-2 + 18) / 2 = 16 / 2 = 8 x₂ = (-2 - √324) / (2 * 1) = (-2 - 18) / 2 = -20 / 2 = -10 3. 8x² - 14x + 5 = 0 D = (-14)² - 4 * 8 * 5 = 196 - 160 = 36 x₁ = (14 + √36) / (2 * 8) = (14 + 6) / 16 = 20 / 16 = 5 / 4 x₂ = (14 - √36) / (2 * 8) = (14 - 6) / 16 = 8 / 16 = 1 / 2 IIb 1. 5x² - 16x + 3 = 0 D = (-16)² - 4 * 5 * 3 = 256 - 60 = 196 x₁ = (16 + √196) / (2 * 5) = (16 + 14) / 10 = 30 / 10 = 3 x₂ = (16 - √196) / (2 * 5) = (16 - 14) / 10 = 2 / 10 = 1 / 5 2. x² - 22x - 23 = 0 D = (-22)² - 4 * 1 * (-23) = 484 + 92 = 576 x₁ = (22 + √576) / (2 * 1) = (22 + 24) / 2 = 46 / 2 = 23 x₂ = (22 - √576) / (2 * 1) = (22 - 24) / 2 = -2 / 2 = -1 3. 12x² + 16x - 3 = 0 D = 16² - 4 * 12 * (-3) = 256 + 144 = 400 x₁ = (-16 + √400) / (2 * 12) = (-16 + 20) / 24 = 4 / 24 = 1 / 6 x₂ = (-16 - √400) / (2 * 12) = (-16 - 20) / 24 = -36 / 24 = -3 / 2

Ответ: Выше приведены решения уравнений.