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受欢迎的代数 >

(8x)/(x+1)-5= 8/(x^2+x)

解答

\frac{8 x}{x + 1} - 5 = \frac{8}{x ^{2} + x}

解答

x = \frac{8}{3}

+1

十进制

x = 2.66666 \dots

求解步骤

\frac{8 x}{x + 1} - 5 = \frac{8}{x ^{2} + x}

乘以最小公倍数

8 x^{2} - 5 x (x + 1) = 8

解

8 x^{2} - 5 x (x + 1) = 8 : x = \frac{8}{3}, x = - 1

x = \frac{8}{3}, x = - 1

验证解

找到无定义的点（奇点）:

x = - 1, x = 0

因为方程对以下值无定义:

- 1

x = \frac{8}{3}

作图

流行的例子

solvefor y,y^2=(x^2-49)/(x^2+49)

so l v e f or y, y^{2} = \frac{x ^{2} - 49}{x ^{2} + 49}

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

1/x = 1/5+3/(2x)

\frac{1}{x} = \frac{1}{5} + \frac{3}{2 x}

solvefor x,(f-g)(x)=((x^2+2x-1))/x

so l v e f or x, (f - g) (x) = \frac{( x ^{2} + 2 x - 1 )}{x}

1/(x-2)+3/(x+3)=6

\frac{1}{x - 2} + \frac{3}{x + 3} = 6