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受欢迎的代数 >

solvefor x,9-1/x =x

解答

求解

x, 9 - \frac{1}{x} = x

解答

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

+1

十进制

x = 8.88748 \dots, x = 0.11251 \dots

求解步骤

9 - \frac{1}{x} = x

在两边乘以

x

9 x - 1 = x^{2}

解

9 x - 1 = x^{2} : x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

作图

流行的例子

4x^{-2}-7x^{-1}-15=0

4 x^{- 2} - 7 x^{- 1} - 15 = 0

81 = \frac{64}{x ^{2}}

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(3 x + 5)^{2} = \frac{- 1}{9 x + 15}

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