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受欢迎的代数 >

16x^4-25x^2=0

解答

16 x^{4} - 25 x^{2} = 0

解答

x = \frac{5}{4}, x = - \frac{5}{4}, x = 0

+1

十进制

x = 1.25, x = - 1.25, x = 0

求解步骤

16 x^{4} - 25 x^{2} = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

16 u^{2} - 25 u = 0

解

16 u^{2} - 25 u = 0 : u = \frac{25}{16}, u = 0

u = \frac{25}{16}, u = 0

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{25}{16} : x = \frac{5}{4}, x = - \frac{5}{4}

解

x^{2} = 0 : x = 0

解为

x = \frac{5}{4}, x = - \frac{5}{4}, x = 0

作图

流行的例子

27x^3-9x^2-12x+4=0

27 x^{3} - 9 x^{2} - 12 x + 4 = 0

2t^3-2t^2-3t+2=0

2 t^{3} - 2 t^{2} - 3 t + 2 = 0

g(n)=3n^3+15n^2+5n

g (n) = 3 n^{3} + 15 n^{2} + 5 n

x^{3} - 4 x^{2} - 5 = 0

x^{4} + 2 i x^{2} - 1 = 0