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受欢迎的代数 >

4x^4+7x^2-2=0

解答

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

解答

x = \frac{1}{2}, x = - \frac{1}{2}, x = 2 i, x = - 2 i

求解步骤

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

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

4 u^{2} + 7 u - 2 = 0

解

4 u^{2} + 7 u - 2 = 0 : u = \frac{1}{4}, u = - 2

u = \frac{1}{4}, u = - 2

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{1}{4} : x = \frac{1}{2}, x = - \frac{1}{2}

解

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

解为

x = \frac{1}{2}, x = - \frac{1}{2}, x = 2 i, x = - 2 i

作图

流行的例子

- 4 (2 x - 6) = 10 x

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f a c t or 10 m^{3} + 4 m^{2} - 90 m - 36

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因式分解-x^2-6x+16

f a c t or - x^{2} - 6 x + 16

化简 (sqrt(180))/(sqrt(3))

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