zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

s^{16}=(16(-7+38))/2

解答

s^{16} = \frac{16 ( - 7 + 38 )}{2}

解答

s = 8248, s = - 8248, s = 8248 i, s = - 8248 i, s = \frac{16 31}{2 ^{\frac{5}{16}}} + \frac{4 4 31}{16 2 ^{5}} i, s = - \frac{8 31}{2 ^{\frac{5}{8}} 16 \frac{31}{2 ^{5}}} - \frac{4 4 31}{16 2 ^{5}} i, s = - \frac{16 31}{2 ^{\frac{5}{16}}} + \frac{4 4 31}{16 2 ^{5}} i, s = \frac{8 31}{2 ^{\frac{5}{8}} 16 \frac{31}{2 ^{5}}} - \frac{4 4 31}{16 2 ^{5}} i, s = \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = - \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = - \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = - \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = - \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i

求解步骤

s^{16} = \frac{16 ( - 7 + 38 )}{2}

化简

\frac{16 ( - 7 + 38 )}{2} : 248

用

u = s^{2}

和

u^{8} = s^{16}

改写方程式

u^{8} = 248

解

u^{8} = 248 : u = 4248, u = - 4248, u = 4248 i, u = - 4248 i, u = \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} + 4 \frac{31}{2} i, u = - \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} - 4 \frac{31}{2} i, u = - \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} + 4 \frac{31}{2} i, u = \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} - 4 \frac{31}{2} i

u = 4248, u = - 4248, u = 4248 i, u = - 4248 i, u = \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} + 4 \frac{31}{2} i, u = - \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} - 4 \frac{31}{2} i, u = - \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} + 4 \frac{31}{2} i, u = \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} - 4 \frac{31}{2} i

代回

u = s^{2}

，求解

s

解

s^{2} = 4248 : s = 8248, s = - 8248

解

s^{2} = - 4248 : s = 8248 i, s = - 8248 i

解

s^{2} = 4248 i : s = \frac{16 31}{2 ^{\frac{5}{16}}} + \frac{4 4 31}{16 2 ^{5}} i, s = - \frac{8 31}{2 ^{\frac{5}{8}} 16 \frac{31}{2 ^{5}}} - \frac{4 4 31}{16 2 ^{5}} i

解

s^{2} = - 4248 i : s = - \frac{16 31}{2 ^{\frac{5}{16}}} + \frac{4 4 31}{16 2 ^{5}} i, s = \frac{8 31}{2 ^{\frac{5}{8}} 16 \frac{31}{2 ^{5}}} - \frac{4 4 31}{16 2 ^{5}} i

解

s^{2} = \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} + 4 \frac{31}{2} i : s = \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = - \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i

解

s^{2} = - \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} - 4 \frac{31}{2} i : s = - \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i

解

s^{2} = - \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} + 4 \frac{31}{2} i : s = \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = - \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i

解

s^{2} = \frac{4 31}{2 ^{\frac{1}{4}} 8 \frac{31}{2}} - 4 \frac{31}{2} i : s = - \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i

解为

s = 8248, s = - 8248, s = 8248 i, s = - 8248 i, s = \frac{16 31}{2 ^{\frac{5}{16}}} + \frac{4 4 31}{16 2 ^{5}} i, s = - \frac{8 31}{2 ^{\frac{5}{8}} 16 \frac{31}{2 ^{5}}} - \frac{4 4 31}{16 2 ^{5}} i, s = - \frac{16 31}{2 ^{\frac{5}{16}}} + \frac{4 4 31}{16 2 ^{5}} i, s = \frac{8 31}{2 ^{\frac{5}{8}} 16 \frac{31}{2 ^{5}}} - \frac{4 4 31}{16 2 ^{5}} i, s = \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = - \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = - \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = - \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 + 8 3968 4 2}{2 8 2} i, s = - \frac{8 31}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} + \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i, s = \frac{8 \frac{31}{2} 8 2}{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2} - \frac{2 ^{\frac{5}{8}} \cdot 2 8 31 - 8 3968 4 2}{2 8 2} i

作图

流行的例子

solvefor x,x^3+y^3=22z^3

so l v e f or x, x^{3} + y^{3} = 22 z^{3}

10 = x^{3} + x

2 (x - 7)^{5} + 3 = 67

2 x^{5} - 7 x^{2} + 3 = 0

b^{3} = 0.25