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受欢迎的代数 >

1/(3(t+6)-10)=-3t+2

解答

\frac{1}{3 ( t + 6 ) - 10} = - 3 t + 2

解答

t = - \frac{3 + 2 6}{3}, t = \frac{2 6 - 3}{3}

+1

十进制

t = - 2.63299 \dots, t = 0.63299 \dots

求解步骤

\frac{1}{3 ( t + 6 ) - 10} = - 3 t + 2

化简

\frac{1}{3 ( t + 6 ) - 10} : \frac{1}{3 t + 8}

\frac{1}{3 t + 8} = - 3 t + 2

在两边乘以

3 t + 8

1 = - 3 t (3 t + 8) + 2 (3 t + 8)

解

1 = - 3 t (3 t + 8) + 2 (3 t + 8) : t = - \frac{3 + 2 6}{3}, t = \frac{2 6 - 3}{3}

t = - \frac{3 + 2 6}{3}, t = \frac{2 6 - 3}{3}

验证解

找到无定义的点（奇点）:

t = - \frac{8}{3}

将不在定义域的点与解相综合:

t = - \frac{3 + 2 6}{3}, t = \frac{2 6 - 3}{3}

作图

流行的例子

6/(y-3)-4/(y-3)=2

\frac{6}{y - 3} - \frac{4}{y - 3} = 2

3/(x-3)=4+x/(x-3)

\frac{3}{x - 3} = 4 + \frac{x}{x - 3}

\frac{6}{x} + \frac{4}{x + 9} = 9

(3x-7/2)/(2x)=5

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

1/(4-y)+1/y-8=0

\frac{1}{4 - y} + \frac{1}{y} - 8 = 0