Rozwiąż mi proszę takie równanie :) :
x3+4x2-2x-8=0
x³ + 4x² - 2x - 8 = 0
x²·(x + 4) - 2·(x + 4) = 0
(x + 4)(x² - 2) = 0
(x + 4)(x - √2)(x + √2) = 0
x + 4 = 0 lub x - √2 lub x + √2 = 0
x + 4 = 0
x = - 4
x - √2 = 0
x = √2
x + √2 = 0
x = - √2
Odp. x = - 4 lub x = - √2 lub x = √2
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x³ + 4x² - 2x - 8 = 0
x²·(x + 4) - 2·(x + 4) = 0
(x + 4)(x² - 2) = 0
(x + 4)(x - √2)(x + √2) = 0
x + 4 = 0 lub x - √2 lub x + √2 = 0
x + 4 = 0
x = - 4
x - √2 = 0
x = √2
x + √2 = 0
x = - √2
Odp. x = - 4 lub x = - √2 lub x = √2