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受欢迎的代数 >

d^3-6d^2+11d-6=0

解答

d^{3} - 6 d^{2} + 11 d - 6 = 0

解答

d = 1, d = 2, d = 3

求解步骤

d^{3} - 6 d^{2} + 11 d - 6 = 0

因式分解

d^{3} - 6 d^{2} + 11 d - 6 : (d - 1) (d - 2) (d - 3)

(d - 1) (d - 2) (d - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

d - 1 = 0 or d - 2 = 0 or d - 3 = 0

解

d - 1 = 0 : d = 1

解

d - 2 = 0 : d = 2

解

d - 3 = 0 : d = 3

解为

d = 1, d = 2, d = 3

作图

流行的例子

x^{100} = 1

3 x^{4} = 48 x^{2}

4 x^{3} + 6 x^{2} + 2 = 0

x^{6} = 30

2 x^{4} = 8