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受欢迎的代数 >

x^{12}-8x^2=9

解答

x^{12} - 8 x^{2} = 9

解答

x = \frac{6.71761 E 13}{4.0 E 13}, x = - \frac{6.71761 E 13}{4.0 E 13}

+1

十进制

x = 1.29591 \dots, x = - 1.29591 \dots

求解步骤

x^{12} - 8 x^{2} = 9

将

9

para o lado esquerdo

x^{12} - 8 x^{2} - 9 = 0

用

u = x^{2}

和

u^{6} = x^{12}

改写方程式

u^{6} - 8 u - 9 = 0

解

u^{6} - 8 u - 9 = 0 : u = - 1, u \approx 1.67940 \dots

u = - 1, u \approx 1.67940 \dots

代回

u = x^{2}

，求解

x

解

x^{2} = - 1 : x \in R

无解

解

x^{2} = 1.67940 \dots : x = \frac{6.71761 E 13}{4.0 E 13}, x = - \frac{6.71761 E 13}{4.0 E 13}

解为

x = \frac{6.71761 E 13}{4.0 E 13}, x = - \frac{6.71761 E 13}{4.0 E 13}

作图

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