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受欢迎的代数 >

3x^4+2x^2-8=0

解答

3 x^{4} + 2 x^{2} - 8 = 0

解答

x = \frac{2}{3}, x = - \frac{2}{3}, x = 2 i, x = - 2 i

求解步骤

3 x^{4} + 2 x^{2} - 8 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

3 u^{2} + 2 u - 8 = 0

解

3 u^{2} + 2 u - 8 = 0 : u = \frac{4}{3}, u = - 2

u = \frac{4}{3}, u = - 2

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{4}{3} : x = \frac{2}{3}, x = - \frac{2}{3}

解

x^{2} = - 2 : x = 2 i, x = - 2 i

解为

x = \frac{2}{3}, x = - \frac{2}{3}, x = 2 i, x = - 2 i

作图

流行的例子

81 = 1. 5^{2} \times x^{9}

因式分解 x^3-8x^2+22x-21=0

f a c t or x^{3} - 8 x^{2} + 22 x - 21 = 0

solvefor y,x^4+y^4=0

so l v e f or y, x^{4} + y^{4} = 0

因式分解 m^3+3m^2-4=0

f a c t or m^{3} + 3 m^{2} - 4 = 0

3x^3-17x^2+18x+8=0

3 x^{3} - 17 x^{2} + 18 x + 8 = 0