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受欢迎的代数 >

x^2-9=(x+3)/((x-2))

解答

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

解答

x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

+1

十进制

x = - 3, x = 3.61803 \dots, x = 1.38196 \dots

求解步骤

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

化简

\frac{x + 3}{( x - 2 )} : \frac{x + 3}{x - 2}

x^{2} - 9 = \frac{x + 3}{x - 2}

在两边乘以

x - 2

x^{2} (x - 2) - 9 (x - 2) = x + 3

解

x^{2} (x - 2) - 9 (x - 2) = x + 3 : x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

验证解

找到无定义的点（奇点）:

x = 2

将不在定义域的点与解相综合:

x = - 3, x = \frac{5 + 5}{2}, x = \frac{5 - 5}{2}

作图

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