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受欢迎的代数 >

-m^8+7=5

解答

- m^{8} + 7 = 5

解答

m = 42, m = - 42, m = 42 i, m = - 42 i, m = \frac{1}{8 2 ^{3}} + \frac{1}{8 2 ^{3}} i, m = - \frac{1}{8 2 ^{3}} - \frac{1}{8 2 ^{3}} i, m = \frac{1}{8 2 ^{3}} - \frac{1}{8 2 ^{3}} i, m = - \frac{1}{8 2 ^{3}} + \frac{1}{8 2 ^{3}} i

求解步骤

- m^{8} + 7 = 5

将

7

到右边

- m^{8} = - 2

两边除以

- 1

m^{8} = 2

用

u = m^{2}

和

u^{4} = m^{8}

改写方程式

u^{4} = 2

解

u^{4} = 2 : u = 2, u = - 2, u = 2 i, u = - 2 i

u = 2, u = - 2, u = 2 i, u = - 2 i

代回

u = m^{2}

，求解

m

解

m^{2} = 2 : m = 42, m = - 42

解

m^{2} = - 2 : m = 42 i, m = - 42 i

解

m^{2} = 2 i : m = \frac{1}{8 2 ^{3}} + \frac{1}{8 2 ^{3}} i, m = - \frac{1}{8 2 ^{3}} - \frac{1}{8 2 ^{3}} i

解

m^{2} = - 2 i : m = \frac{1}{8 2 ^{3}} - \frac{1}{8 2 ^{3}} i, m = - \frac{1}{8 2 ^{3}} + \frac{1}{8 2 ^{3}} i

解为

m = 42, m = - 42, m = 42 i, m = - 42 i, m = \frac{1}{8 2 ^{3}} + \frac{1}{8 2 ^{3}} i, m = - \frac{1}{8 2 ^{3}} - \frac{1}{8 2 ^{3}} i, m = \frac{1}{8 2 ^{3}} - \frac{1}{8 2 ^{3}} i, m = - \frac{1}{8 2 ^{3}} + \frac{1}{8 2 ^{3}} i

作图

流行的例子

2x^5-20x^3+42x=0

2 x^{5} - 20 x^{3} + 42 x = 0

solvefor x,1x^6-5x^2=0

so l v e f or x, 1 x^{6} - 5 x^{2} = 0

16 x - 2 x^{3} = \frac{16}{3}

3x^3-19x^2+36x-10=0

3 x^{3} - 19 x^{2} + 36 x - 10 = 0

x^5+2x^4+6x^2+1=114514

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