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受欢迎的代数 >

16x^4-40x^2+9=0

解答

16 x^{4} - 40 x^{2} + 9 = 0

解答

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

+1

十进制

x = 1.5, x = - 1.5, x = 0.5, x = - 0.5

求解步骤

16 x^{4} - 40 x^{2} + 9 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

16 u^{2} - 40 u + 9 = 0

解

16 u^{2} - 40 u + 9 = 0 : u = \frac{9}{4}, u = \frac{1}{4}

u = \frac{9}{4}, u = \frac{1}{4}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{9}{4} : x = \frac{3}{2}, x = - \frac{3}{2}

解

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

解为

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

作图

流行的例子

2 x^{4} + 4 x - 6 = 0

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