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

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2(x - 2)(x - 2) = 82(x² - 4x + 4) = 82x² - 8x + 8 = 82x² - 8x = 8 - 82x² - 8x = 02x(x - 4) = 0Произведение равно 0,когда один из множителей равен 0,значит,2x = 0x =0x - 4 = 0x = 4Ответ: x = 0, x = 4.3(x - 5)(x - 5) = 63( x² - 10x + 25) =63x² - 30x + 75 - 6 = 03x² - 30x + 69 = 0x² - 10x + 23 = 0D = b² - 4ac = 100 - 4 × 23 = 100 - 92 = 8x1,2 = ( 10 +/- √8) / 2 = (10+/-2√2) / 2x1 = 5 + √2, x2 = 5 - √210(x - 3)(x - 3) = 1010( x² - 6x + 9) = 1010x² - 60x + 90 - 10 = 010x² - 60x + 80 = 0x² - 6x + 8 = 0D = b² - 4ac = 36 - 4 × 8 = 36 - 32 = 4 = 2²x1 = (  6 + 2) / 2 = 4x2 = ( 6 - 2) / 2 = 2Ответ: x1 = 4, x2 = 2.