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受欢迎的代数 >

m^5-m=0

解答

m^{5} - m = 0

解答

m = 0, m = i, m = - i, m = - 1, m = 1

求解步骤

m^{5} - m = 0

因式分解

m^{5} - m : m (m^{2} + 1) (m + 1) (m - 1)

m (m^{2} + 1) (m + 1) (m - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

m = 0 or m^{2} + 1 = 0 or m + 1 = 0 or m - 1 = 0

解

m^{2} + 1 = 0 : m = i, m = - i

解

m + 1 = 0 : m = - 1

解

m - 1 = 0 : m = 1

解为

m = 0, m = i, m = - i, m = - 1, m = 1

作图

流行的例子

-9x^{10}+10x^9=0.75

- 9 x^{10} + 10 x^{9} = 0.75

x^{7} - 81 x^{3} = 0

x^3-7x^2+8x+16=0

x^{3} - 7 x^{2} + 8 x + 16 = 0

x^{4} = \frac{1}{81}

x^3+2x^2-5x-10=0

x^{3} + 2 x^{2} - 5 x - 10 = 0