(x^2-x)= 1/(2*(x-7+9x^2))

解答

(x^{2} - x) = \frac{1}{2 \cdot ( x - 7 + 9 x ^{2} )}

x \approx 0.07909 \dots, x \approx 1.09395 \dots, x \approx 0.67171 \dots, x \approx - 0.95587 \dots

求解步骤

(x^{2} - x) = \frac{1}{2 ( x - 7 + 9 x ^{2} )}

在两边乘以

2 (x - 7 + 9 x^{2})

(x^{2} - x) \cdot 2 (x - 7 + 9 x^{2}) = 1

解

(x^{2} - x) \cdot 2 (x - 7 + 9 x^{2}) = 1 : x \approx 0.07909 \dots, x \approx 1.09395 \dots, x \approx 0.67171 \dots, x \approx - 0.95587 \dots

x \approx 0.07909 \dots, x \approx 1.09395 \dots, x \approx 0.67171 \dots, x \approx - 0.95587 \dots

验证解

找到无定义的点（奇点）:

x = \frac{- 1 + 253}{18}, x = - \frac{1 + 253}{18}

将不在定义域的点与解相综合:

x \approx 0.07909 \dots, x \approx 1.09395 \dots, x \approx 0.67171 \dots, x \approx - 0.95587 \dots

\frac{40000000}{( x - 200 )} = 100000

\frac{( 24 + 5 x )}{( x + 13 )} = 4.1

25 + 20 n + 4 n^{2} = \frac{8}{( 2 n + 5 )}

\frac{( 7 y + 4 )}{( y + 2 )} = \frac{- 4}{3}

\frac{\frac{7}{12}}{y} = \frac{1}{2}