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受欢迎的代数 >

144x^4-24x^2+1=0

解答

144 x^{4} - 24 x^{2} + 1 = 0

解答

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

+1

十进制

x = 0.28867 \dots, x = - 0.28867 \dots

求解步骤

144 x^{4} - 24 x^{2} + 1 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

144 u^{2} - 24 u + 1 = 0

解

144 u^{2} - 24 u + 1 = 0 : u = \frac{1}{12}

u = \frac{1}{12}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{1}{12} : x = \frac{1}{2 3}, x = - \frac{1}{2 3}

解为

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

作图

流行的例子

solvefor x,4y-4x^3=0

so l v e f or x, 4 y - 4 x^{3} = 0

z^{6} = - i

2 y^{4} + y^{2} = 36

2x^3-3x^2+16x-24=0

2 x^{3} - 3 x^{2} + 16 x - 24 = 0

y^3-3y^2+3y-1=0

y^{3} - 3 y^{2} + 3 y - 1 = 0