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受欢迎的代数 >

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

解答

4 x^{2} = \frac{3 x}{3 x + 1} + \frac{1}{3 x + 1}

解答

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

+1

十进制

x = - 0.5, x = 0.5

求解步骤

4 x^{2} = \frac{3 x}{3 x + 1} + \frac{1}{3 x + 1}

在两边乘以

3 x + 1

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

解

4 x^{2} (3 x + 1) = 3 x + 1 : x = - \frac{1}{3}, x = - \frac{1}{2}, x = \frac{1}{2}

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

验证解

找到无定义的点（奇点）:

x = - \frac{1}{3}

因为方程对以下值无定义:

- \frac{1}{3}

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

作图

流行的例子

x + \frac{1}{x} = 35

2x-(27648)/(x^2)=0

2 x - \frac{27648}{x ^{2}} = 0

4/(x-1)-4/(x+1)=1

\frac{4}{x - 1} - \frac{4}{x + 1} = 1

2x-(8192)/(x^2)=0

2 x - \frac{8192}{x ^{2}} = 0

4/(y-1)-5/(y+2)= 3/y

\frac{4}{y - 1} - \frac{5}{y + 2} = \frac{3}{y}