Wartość wyrażenia (1+√3)²-(1-√3)² jest równa:
a) 0 b) 2√3 c) 4√3 d) 8
( 1 + p(3))^2 - ( 1 - p(3))^2 = 1 + 2 p(3) + 3 - ( 1 - 2 p(3) + 3) =
= 4 + 2 p(3) - 4 + 2 p(3) = 4 p(3)
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Odp. c)
p(3) - pierwiastek kwadratowy z 3
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( 1 + p(3))^2 - ( 1 - p(3))^2 = 1 + 2 p(3) + 3 - ( 1 - 2 p(3) + 3) =
= 4 + 2 p(3) - 4 + 2 p(3) = 4 p(3)
================================
Odp. c)
p(3) - pierwiastek kwadratowy z 3