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受欢迎的代数 >

m^3-2m+1=0

解答

m^{3} - 2 m + 1 = 0

解答

m = 1, m = \frac{- 1 + 5}{2}, m = \frac{- 1 - 5}{2}

+1

十进制

m = 1, m = 0.61803 \dots, m = - 1.61803 \dots

求解步骤

m^{3} - 2 m + 1 = 0

因式分解

m^{3} - 2 m + 1 : (m - 1) (m^{2} + m - 1)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

m - 1 = 0 : m = 1

解

m^{2} + m - 1 = 0 : m = \frac{- 1 + 5}{2}, m = \frac{- 1 - 5}{2}

解为

m = 1, m = \frac{- 1 + 5}{2}, m = \frac{- 1 - 5}{2}

作图

流行的例子

\frac{z ^{3}}{2} = 8 i

solvefor x,a=(-1/2*x^2*y^3)^1*(-x*y^2)

so l v e f or x, a = (- \frac{1}{2} \cdot x^{2} \cdot y^{3})^{1} \cdot (- x \cdot y^{2})

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

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

x^3-4x^2-x+1=(x-2)3

x^{3} - 4 x^{2} - x + 1 = (x - 2) 3

x^{4} = - 4