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受欢迎的代数 >

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

解答

\frac{4 ( x ^{2} - 3 )}{x} = x + 2

解答

x = \frac{1 + 37}{3}, x = \frac{1 - 37}{3}

+1

十进制

x = 2.36092 \dots, x = - 1.69425 \dots

求解步骤

\frac{4 ( x ^{2} - 3 )}{x} = x + 2

在两边乘以

x

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

解

4 (x^{2} - 3) = x^{2} + 2 x : x = \frac{1 + 37}{3}, x = \frac{1 - 37}{3}

x = \frac{1 + 37}{3}, x = \frac{1 - 37}{3}

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{1 + 37}{3}, x = \frac{1 - 37}{3}

作图

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