Odpowiedź:
zad 7
(√2x + 1)² = 2(x² + x + 1)
2x² + 2√2x + 1 = 2x² + 2x + 2
2x² - 2x² + 2√2x - 2x = 2 - 1
2√2x - 2x =1
x(2√2 - 2) = 1
2x(√2 - 1) = 1
x = 1 : 2(√2 - 1) = (√2 + 1/)/[2(√2 - 1)(√2 + 1)] = (√2 + 1)/[2(2 - 1) = (√2 + 1)/(2 * 1) =
= (√2 + 1)/2 = 1/2(√2 + 1 )
Odp: B
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Odpowiedź:
zad 7
(√2x + 1)² = 2(x² + x + 1)
2x² + 2√2x + 1 = 2x² + 2x + 2
2x² - 2x² + 2√2x - 2x = 2 - 1
2√2x - 2x =1
x(2√2 - 2) = 1
2x(√2 - 1) = 1
x = 1 : 2(√2 - 1) = (√2 + 1/)/[2(√2 - 1)(√2 + 1)] = (√2 + 1)/[2(2 - 1) = (√2 + 1)/(2 * 1) =
= (√2 + 1)/2 = 1/2(√2 + 1 )
Odp: B