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受欢迎的代数 >

a^6=16a^{20},a^4=10

解答

a^{6} = 16 a^{20}, a^{4} = 10

解答

a = 0, a = \frac{1}{7 16}, a = - \frac{1}{7 16}

+1

十进制

a = 0, a = 0.82033 \dots, a = - 0.82033 \dots

求解步骤

a^{6} = 16 a^{20}

交换两边

16 a^{20} = a^{6}

将

a^{6}

para o lado esquerdo

16 a^{20} - a^{6} = 0

用

u = a^{2}, u^{3} = a^{6}

和

u^{10} = a^{20}

改写方程式

16 u^{10} - u^{3} = 0

解

16 u^{10} - u^{3} = 0 : u = 0, u = \frac{1}{7 16}

u = 0, u = \frac{1}{7 16}

代回

u = a^{2}

，求解

a

解

a^{2} = 0 : a = 0

解

a^{2} = \frac{1}{7 16} : a = \frac{1}{7 16}, a = - \frac{1}{7 16}

解为

a = 0, a = \frac{1}{7 16}, a = - \frac{1}{7 16}

作图

流行的例子

-4x^3+16x^2-9x-9=0

- 4 x^{3} + 16 x^{2} - 9 x - 9 = 0

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

(x + 1)^{2} (x - 1) = 0

-4h-5h^2+h^3-4=0

- 4 h - 5 h^{2} + h^{3} - 4 = 0

3 - (x - 1)^{4} = 0