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受欢迎的代数 >

φ/1 = 1/((φ-1))

解答

\frac{φ}{1} = \frac{1}{( φ - 1 )}

解答

φ = \frac{1 + 5}{2}, φ = \frac{1 - 5}{2}

+1

十进制

φ = 1.61803 \dots, φ = - 0.61803 \dots

求解步骤

\frac{φ}{1} = \frac{1}{( φ - 1 )}

化简

φ = \frac{1}{φ - 1}

在两边乘以

φ - 1

φ (φ - 1) = 1

解

φ (φ - 1) = 1 : φ = \frac{1 + 5}{2}, φ = \frac{1 - 5}{2}

φ = \frac{1 + 5}{2}, φ = \frac{1 - 5}{2}

验证解

找到无定义的点（奇点）:

φ = 1

将不在定义域的点与解相综合:

φ = \frac{1 + 5}{2}, φ = \frac{1 - 5}{2}

作图

流行的例子

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

(k+8)/k-(k-4)/k =3

\frac{k + 8}{k} - \frac{k - 4}{k} = 3

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\frac{x - 5}{x - 8} = \frac{1}{x}

(0.3}{0.9}=\frac{0.2)/x

\frac{0.3}{0.9} = \frac{0.2}{x}

a = \frac{1}{2 h ( b + b )}