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受欢迎的代数 >

36x^4-83x^2+35=0

解答

36 x^{4} - 83 x^{2} + 35 = 0

解答

x = \frac{7}{2}, x = - \frac{7}{2}, x = \frac{5}{3}, x = - \frac{5}{3}

+1

十进制

x = 1.32287 \dots, x = - 1.32287 \dots, x = 0.74535 \dots, x = - 0.74535 \dots

求解步骤

36 x^{4} - 83 x^{2} + 35 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

36 u^{2} - 83 u + 35 = 0

解

36 u^{2} - 83 u + 35 = 0 : u = \frac{7}{4}, u = \frac{5}{9}

u = \frac{7}{4}, u = \frac{5}{9}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{7}{4} : x = \frac{7}{2}, x = - \frac{7}{2}

解

x^{2} = \frac{5}{9} : x = \frac{5}{3}, x = - \frac{5}{3}

解为

x = \frac{7}{2}, x = - \frac{7}{2}, x = \frac{5}{3}, x = - \frac{5}{3}

作图

流行的例子

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x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1 = 0

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3x^3-4x^2+11x+10=0

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