Решите уравнение: 2(x-2)^2=8 3(x-5)^2=6 10(x-3)^2=10

2(x - 2)(x - 2) = 8 2(x² - 4x + 4) = 8 2x² - 8x + 8 = 8 2x² - 8x = 8 - 8 2x² - 8x = 0 2x(x - 4) = 0 Произведение равно 0,когда один из множителей равен 0,значит, 2x = 0 x =0 x - 4 = 0 x = 4 Ответ: x = 0, x = 4. 3(x - 5)(x - 5) = 6 3( x² - 10x + 25) =6 3x² - 30x + 75 - 6 = 0 3x² - 30x + 69 = 0 x² - 10x + 23 = 0 D = b² - 4ac = 100 - 4 × 23 = 100 - 92 = 8 x1,2 = ( 10 +/- √8) / 2 = (10+/-2√2) / 2 x1 = 5 + √2, x2 = 5 - √2 10(x - 3)(x - 3) = 10 10( x² - 6x + 9) = 10 10x² - 60x + 90 - 10 = 0 10x² - 60x + 80 = 0 x² - 6x + 8 = 0 D = b² - 4ac = 36 - 4 × 8 = 36 - 32 = 4 = 2² x1 = (  6 + 2) / 2 = 4 x2 = ( 6 - 2) / 2 = 2 Ответ: x1 = 4, x2 = 2.