Zadanie w załączniku:)
x = 3√2 - 1
y = √2 + 1
Obliczamy:
x³ = (3√2 - 1)³ = (3√2)³ - 3(3√2)²·1 + 3·3√2·1² - 1³ = 27·2√2 - 3·18 + 9√2 - 1 =
= 54√2 - 54 + 9√2 - 1 = 63√2 - 55
y² = (√2 + 1)² = 2 +2·√2·1 + 1 = 3 + 2√2
Obliczamy wartość szukanego wyrażenia:
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x = 3√2 - 1
y = √2 + 1
Obliczamy:
x³ = (3√2 - 1)³ = (3√2)³ - 3(3√2)²·1 + 3·3√2·1² - 1³ = 27·2√2 - 3·18 + 9√2 - 1 =
= 54√2 - 54 + 9√2 - 1 = 63√2 - 55
y² = (√2 + 1)² = 2 +2·√2·1 + 1 = 3 + 2√2
Obliczamy wartość szukanego wyrażenia: