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受欢迎的代数 >

m^3-6m^2+12m+208=0

解答

m^{3} - 6 m^{2} + 12 m + 208 = 0

解答

m = - 4, m = 5 + 33 i, m = 5 - 33 i

求解步骤

m^{3} - 6 m^{2} + 12 m + 208 = 0

因式分解

m^{3} - 6 m^{2} + 12 m + 208 : (m + 4) (m^{2} - 10 m + 52)

(m + 4) (m^{2} - 10 m + 52) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

m + 4 = 0 or m^{2} - 10 m + 52 = 0

解

m + 4 = 0 : m = - 4

解

m^{2} - 10 m + 52 = 0 : m = 5 + 33 i, m = 5 - 33 i

解为

m = - 4, m = 5 + 33 i, m = 5 - 33 i

作图

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