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受欢迎的代数 >

6x^4-29x^3+30x^2=6-11x

解答

6 x^{4} - 29 x^{3} + 30 x^{2} = 6 - 11 x

解答

x = 2, x = 3, x = \frac{1}{3}, x = - \frac{1}{2}

+1

十进制

x = 2, x = 3, x = 0.33333 \dots, x = - 0.5

求解步骤

6 x^{4} - 29 x^{3} + 30 x^{2} = 6 - 11 x

将

11 x

para o lado esquerdo

6 x^{4} - 29 x^{3} + 30 x^{2} + 11 x = 6

将

6

para o lado esquerdo

6 x^{4} - 29 x^{3} + 30 x^{2} + 11 x - 6 = 0

因式分解

6 x^{4} - 29 x^{3} + 30 x^{2} + 11 x - 6 : (x - 2) (x - 3) (3 x - 1) (2 x + 1)

(x - 2) (x - 3) (3 x - 1) (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 - 3 = 0 or 3 x - 1 = 0 or 2 x + 1 = 0

解

x - 2 = 0 : x = 2

解

x - 3 = 0 : x = 3

解

3 x - 1 = 0 : x = \frac{1}{3}

解

2 x + 1 = 0 : x = - \frac{1}{2}

解为

x = 2, x = 3, x = \frac{1}{3}, x = - \frac{1}{2}

作图

流行的例子

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