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受欢迎的代数 >

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

解答

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

解答

x = - 1, x = 1 + 2, x = 1 - 2

+1

十进制

x = - 1, x = 2.41421 \dots, x = - 0.41421 \dots

求解步骤

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

将

2

para o lado esquerdo

x^{3} - 3 x - 1 = x^{2}

将

x^{2}

para o lado esquerdo

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

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

因式分解

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

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

解

x + 1 = 0 : x = - 1

解

x^{2} - 2 x - 1 = 0 : x = 1 + 2, x = 1 - 2

解为

x = - 1, x = 1 + 2, x = 1 - 2

作图

流行的例子

10000000=2560000000(x^8)

10000000 = 2560000000 (x^{8})

3 x^{3} + 9 x - 1 = 0

15x^3+14x^2-8x=900

15 x^{3} + 14 x^{2} - 8 x = 900

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

(1+0.25)^1=(1+x)^{15}

(1 + 0.25)^{1} = (1 + x)^{15}