Oblicz sprytnie wartości podanych wyrażeń dla x=98:
a)
x^2 + 4x + 4 = (x+2)^2
dla x = 98
(98+2)^2 = 100^2 = 10 000
b)
x^2 + 4x +10 = x^2 + 4x + 4 + 6 = (x+2)^2 + 6
(98+2)^2 + 6 = 100^2 + 6 = 10 000 + 6 = 10 006
c)
x^2 + 3x + 4 = x^2 + 4x + 4 - x = (x+2)^2 - x
(98+2)^2 - 98 = 100^2 - 98 = 10 000 - 98 = 9 902
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a)
x^2 + 4x + 4 = (x+2)^2
dla x = 98
(98+2)^2 = 100^2 = 10 000
b)
x^2 + 4x +10 = x^2 + 4x + 4 + 6 = (x+2)^2 + 6
dla x = 98
(98+2)^2 + 6 = 100^2 + 6 = 10 000 + 6 = 10 006
c)
x^2 + 3x + 4 = x^2 + 4x + 4 - x = (x+2)^2 - x
dla x = 98
(98+2)^2 - 98 = 100^2 - 98 = 10 000 - 98 = 9 902