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受欢迎的代数 >

5x=10-1/x

解答

5 x = 10 - \frac{1}{x}

解答

x = \frac{5 + 2 5}{5}, x = \frac{5 - 2 5}{5}

+1

十进制

x = 1.89442 \dots, x = 0.10557 \dots

求解步骤

5 x = 10 - \frac{1}{x}

在两边乘以

x

5 x^{2} = 10 x - 1

解

5 x^{2} = 10 x - 1 : x = \frac{5 + 2 5}{5}, x = \frac{5 - 2 5}{5}

x = \frac{5 + 2 5}{5}, x = \frac{5 - 2 5}{5}

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{5 + 2 5}{5}, x = \frac{5 - 2 5}{5}

作图

流行的例子

0.02572= 1/((19.1+1.5+x))

0.02572 = \frac{1}{( 19.1 + 1.5 + x )}

(x+5)/x =(x+2)/(x-2)

\frac{x + 5}{x} = \frac{x + 2}{x - 2}

0=(x^2-1)/(x^3-2x^2)

0 = \frac{x ^{2} - 1}{x ^{3} - 2 x ^{2}}

0.24 = \frac{21}{x}

((x)(x))/((0.5-x))=8.3

\frac{( x ) ( x )}{( 0.5 - x )} = 8.3