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受欢迎的代数 >

1-k^4=0.4583

解答

1 - k^{4} = 0.4583

解答

k = \frac{5417}{10}, k = - \frac{5417}{10}, k = \frac{5417}{10} i, k = - \frac{5417}{10} i

求解步骤

1 - k^{4} = 0.4583

将

1

到右边

- k^{4} = - 0.5417

两边除以

- 1

k^{4} = 0.5417

用

u = k^{2}

和

u^{2} = k^{4}

改写方程式

u^{2} = 0.5417

解

u^{2} = 0.5417 : u = 0.5417, u = - 0.5417

u = 0.5417, u = - 0.5417

代回

u = k^{2}

，求解

k

解

k^{2} = 0.5417 : k = \frac{5417}{10}, k = - \frac{5417}{10}

解

k^{2} = - 0.5417 : k = \frac{5417}{10} i, k = - \frac{5417}{10} i

解为

k = \frac{5417}{10}, k = - \frac{5417}{10}, k = \frac{5417}{10} i, k = - \frac{5417}{10} i

作图

流行的例子

0=2x^3+x^2-5x+2

0 = 2 x^{3} + x^{2} - 5 x + 2

(x^2-6x+10)^2=0

(x^{2} - 6 x + 10)^{2} = 0

x^{10} = 9 x^{8}

x^{3} = - x^{2} + 2 x

9x(2x+1)^3=4x(2x+1)

9 x (2 x + 1)^{3} = 4 x (2 x + 1)