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受欢迎的代数 >

(2q)/(10-3q)=10-3q

解答

\frac{2 q}{10 - 3 q} = 10 - 3 q

解答

q = \frac{31 + 61}{9}, q = \frac{31 - 61}{9}

+1

十进制

q = 4.31224 \dots, q = 2.57663 \dots

求解步骤

\frac{2 q}{10 - 3 q} = 10 - 3 q

在两边乘以

10 - 3 q

2 q = 10 (10 - 3 q) - 3 q (10 - 3 q)

解

2 q = 10 (10 - 3 q) - 3 q (10 - 3 q) : q = \frac{31 + 61}{9}, q = \frac{31 - 61}{9}

q = \frac{31 + 61}{9}, q = \frac{31 - 61}{9}

验证解

找到无定义的点（奇点）:

q = \frac{10}{3}

将不在定义域的点与解相综合:

q = \frac{31 + 61}{9}, q = \frac{31 - 61}{9}

作图

流行的例子

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

\frac{1}{x} = 8

\frac{4}{x} = \frac{5}{10}

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