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受欢迎的代数 >

(3x-2)^3=(3x)^3

解答

(3 x - 2)^{3} = (3 x)^{3}

解答

x = \frac{1}{3} - i \frac{3}{9}, x = \frac{1}{3} + i \frac{3}{9}

求解步骤

(3 x - 2)^{3} = (3 x)^{3}

展开

(3 x - 2)^{3} : 27 x^{3} - 54 x^{2} + 36 x - 8

展开

(3 x)^{3} : 27 x^{3}

27 x^{3} - 54 x^{2} + 36 x - 8 = 27 x^{3}

将

27 x^{3}

para o lado esquerdo

- 54 x^{2} + 36 x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 36 \pm 3 6 ^{2} - 4 ( - 54 ) ( - 8 )}{2 ( - 54 )}

化简

3 6^{2} - 4 (- 54) (- 8) : 123 i

x_{1, 2} = \frac{- 36 \pm 12 3 i}{2 ( - 54 )}

将解分隔开

x_{1} = \frac{- 36 + 12 3 i}{2 ( - 54 )}, x_{2} = \frac{- 36 - 12 3 i}{2 ( - 54 )}

x = \frac{- 36 + 12 3 i}{2 ( - 54 )} : \frac{1}{3} - i \frac{3}{9}

x = \frac{- 36 - 12 3 i}{2 ( - 54 )} : \frac{1}{3} + i \frac{3}{9}

二次方程组的解是:

x = \frac{1}{3} - i \frac{3}{9}, x = \frac{1}{3} + i \frac{3}{9}

作图

流行的例子

11 x^{2} - 4 x = - 2

completesquare x^2-3x-10=0

co m pl e t es q u a re x^{2} - 3 x - 10 = 0

2 x (x + 1.5) = - 1

x^2-0.6x+0.16=0

x^{2} - 0.6 x + 0.16 = 0

4 x^{2} - 8 x = - 11