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受欢迎的代数 >

4x^28x-7=0

解答

4 x^{2} 8 x - 7 = 0

解答

x = \frac{3 7}{2 3 4}, x = \frac{3 7 ( - \frac{1}{2} + \frac{3}{2} i )}{2 3 4}, x = \frac{3 7 ( - \frac{1}{2} - \frac{3}{2} i )}{2 3 4}

求解步骤

4 x^{2} \cdot 8 x - 7 = 0

将

7

到右边

4 x^{2} \cdot 8 x = 7

化简

32 x^{3} = 7

两边除以

32

\frac{32 x ^{3}}{32} = \frac{7}{32}

x^{3} = \frac{7}{32}

对于

x^{3} = f (a)

解为

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

x = 3 \frac{7}{32}, x = 3 \frac{7}{32} \frac{- 1 + 3 i}{2}, x = 3 \frac{7}{32} \frac{- 1 - 3 i}{2}

3 \frac{7}{32} = \frac{3 7}{2 3 4}

化简

3 \frac{7}{32} \frac{- 1 + 3 i}{2} : \frac{3 7 ( - \frac{1}{2} + \frac{3}{2} i )}{2 3 4}

化简

3 \frac{7}{32} \frac{- 1 - 3 i}{2} : \frac{3 7 ( - \frac{1}{2} - \frac{3}{2} i )}{2 3 4}

x = \frac{3 7}{2 3 4}, x = \frac{3 7 ( - \frac{1}{2} + \frac{3}{2} i )}{2 3 4}, x = \frac{3 7 ( - \frac{1}{2} - \frac{3}{2} i )}{2 3 4}

作图

流行的例子

3x^3+12x=5x^2+20

3 x^{3} + 12 x = 5 x^{2} + 20

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

x^{3} + 3 x^{2} - 54 x = 0

- 5 x^{4} - 32 = - 12

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