Sin²x+sinx cosx-2cosx-2cos²x=0

Question

Алгебра

Корней

7 мая, 23:32

Sin²x+sinx cosx-2cosx-2cos²x=0

+2

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Аделина · Answer 1

X1 = - 2*atan ((76 - (1 - sqrt (3) * i) * (8 - (1 - sqrt (3) * i) * (55 + 3*sqrt (426) * i) ^ (1/3)) * (55 + 3*sqrt (426) * i) ^ (1/3)) / (6 * (1 - sqrt (3) * i) * (55 + 3*sqrt (426) * i) ^ (1/3)))

x2 = - 2*atan ((76 - (1 + sqrt (3) * i) * (8 - (1 + sqrt (3) * i) * (55 + 3*sqrt (426) * i) ^ (1/3)) * (55 + 3*sqrt (426) * i) ^ (1/3)) / (6 * (1 + sqrt (3) * i) * (55 + 3*sqrt (426) * i) ^ (1/3)))

x3 = 2*atan (4/3 + 19 / (3 * (55 + 3*sqrt (426) * i) ^ (1/3)) + (55 + 3*sqrt (426) * i) ^ (1/3) / 3)