Treść zadania w załączniku:)
w (-1) = -27 +2 +5 +1 = -19
W(0) = 1 ; 3W(0) = 3
W(pier2) = 12 -4 -5pier2 +1 = -9 - 5pier2
- 19 -3 - 22 -22(- 9 + 5 pier2) 198 - 110pier2
___________ = __________ = ____________________ = _________________
- 9 - 5 pier2 - 9 - 5 pier2 (-9 - 5 pier2)(- 9 + 5 pier2) 31
W(x) = 3x³-2x²-5x+1
Obliczamy:
W(-1) = 3·(-1)³ - 2·(-1)² - 5·(-1) + 1 = 3·(-1) - 2·1 + 5 + 1 = -3-2+5+1 = 1
W(0) = 3·0³ - 2·0² - 5·0 + 1 = 0-0-0+1 = 1
W(√2) = 3·(√2)³ - 2·(√2)² - 5·√2 + 1 = 3·2√2 - 2·2 - 5√2 + 1 = √2-3
Obliczamy wartość szukanego wyrażenia:
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w (-1) = -27 +2 +5 +1 = -19
W(0) = 1 ; 3W(0) = 3
W(pier2) = 12 -4 -5pier2 +1 = -9 - 5pier2
- 19 -3 - 22 -22(- 9 + 5 pier2) 198 - 110pier2
___________ = __________ = ____________________ = _________________
- 9 - 5 pier2 - 9 - 5 pier2 (-9 - 5 pier2)(- 9 + 5 pier2) 31
W(x) = 3x³-2x²-5x+1
Obliczamy:
W(-1) = 3·(-1)³ - 2·(-1)² - 5·(-1) + 1 = 3·(-1) - 2·1 + 5 + 1 = -3-2+5+1 = 1
W(0) = 3·0³ - 2·0² - 5·0 + 1 = 0-0-0+1 = 1
W(√2) = 3·(√2)³ - 2·(√2)² - 5·√2 + 1 = 3·2√2 - 2·2 - 5√2 + 1 = √2-3
Obliczamy wartość szukanego wyrażenia: