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受欢迎的代数 >

15x^4+7x^2-2=0

解答

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

解答

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{2}{3} i, x = - \frac{2}{3} i

求解步骤

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

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

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

解

15 u^{2} + 7 u - 2 = 0 : u = \frac{1}{5}, u = - \frac{2}{3}

u = \frac{1}{5}, u = - \frac{2}{3}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{1}{5} : x = \frac{1}{5}, x = - \frac{1}{5}

解

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

解为

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{2}{3} i, x = - \frac{2}{3} i

作图

流行的例子

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