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受欢迎的代数 >

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

解答

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

解答

x = \frac{7}{2}, x = \frac{11}{4} + i \frac{3}{4}, x = \frac{11}{4} - i \frac{3}{4}

求解步骤

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

两边除以

2

(x - 3)^{3} = \frac{1}{8}

对于

g^{3} (x) = f (a)

解为

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

解

x - 3 = 3 \frac{1}{8} : x = \frac{7}{2}

解

x - 3 = 3 \frac{1}{8} \frac{- 1 + 3 i}{2} : x = \frac{11}{4} + i \frac{3}{4}

解

x - 3 = 3 \frac{1}{8} \frac{- 1 - 3 i}{2} : x = \frac{11}{4} - i \frac{3}{4}

解为

x = \frac{7}{2}, x = \frac{11}{4} + i \frac{3}{4}, x = \frac{11}{4} - i \frac{3}{4}

作图

流行的例子

n^5+100=n^1+5^5

n^{5} + 100 = n^{1} + 5^{5}

x^{3} \cdot 13 = x^{2} \cdot 247

(2x-9)(x^2-4)=0

(2 x - 9) (x^{2} - 4) = 0

x^{3} - 4 x^{2} - 5 x = 0

x - x^{3} = 1