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受欢迎的代数 >

(x^2-1)(x-4)-(x+1)(-x)=0

解答

(x^{2} - 1) (x - 4) - (x + 1) (- x) = 0

解答

x = 2, x = - 1

求解步骤

(x^{2} - 1) (x - 4) - (x + 1) (- x) = 0

因式分解

(x^{2} - 1) (x - 4) - (x + 1) (- x) : (x - 2)^{2} (x + 1)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 2 = 0 or x + 1 = 0

解

x - 2 = 0 : x = 2

解

x + 1 = 0 : x = - 1

解为

x = 2, x = - 1

作图

流行的例子

x^3+3x^2+4x+1=0

x^{3} + 3 x^{2} + 4 x + 1 = 0

1000x^3-300x^2+1.5=0

1000 x^{3} - 300 x^{2} + 1.5 = 0

x^{2} = 6 x^{4}

- x^{3} + 41 x + 24 = 0

x^3+4x^2+4x-1=0

x^{3} + 4 x^{2} + 4 x - 1 = 0