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受欢迎的代数 >

16x^4-121x^2=0

解答

16 x^{4} - 121 x^{2} = 0

解答

x = \frac{11}{4}, x = - \frac{11}{4}, x = 0

+1

十进制

x = 2.75, x = - 2.75, x = 0

求解步骤

16 x^{4} - 121 x^{2} = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

16 u^{2} - 121 u = 0

解

16 u^{2} - 121 u = 0 : u = \frac{121}{16}, u = 0

u = \frac{121}{16}, u = 0

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{121}{16} : x = \frac{11}{4}, x = - \frac{11}{4}

解

x^{2} = 0 : x = 0

解为

x = \frac{11}{4}, x = - \frac{11}{4}, x = 0

作图

流行的例子

-x^4+4x^3-18x^2+16x+8=0

- x^{4} + 4 x^{3} - 18 x^{2} + 16 x + 8 = 0

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x (x + 1) (x + 2) (x + 3) = 46 1^{2} - 1

473=(7pix^3)/(48)

473 = \frac{7 π x ^{3}}{48}

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