(3/((2b)))^2-(b)^2=2

解答

(\frac{3}{( 2 b )})^{2} - (b)^{2} = 2

b = - \frac{2 + 13}{2}, b = - - \frac{2 + 13}{2}, b = \frac{13 - 2}{2}, b = - \frac{13 - 2}{2}

求解步骤

(\frac{3}{( 2 b )})^{2} - b^{2} = 2

化简

(\frac{3}{2 b})^{2} : \frac{9}{4 b ^{2}}

\frac{9}{4 b ^{2}} - b^{2} = 2

在两边乘以

4 b^{2}

9 - 4 b^{4} = 8 b^{2}

解

9 - 4 b^{4} = 8 b^{2} : b = - \frac{2 + 13}{2}, b = - - \frac{2 + 13}{2}, b = \frac{13 - 2}{2}, b = - \frac{13 - 2}{2}

b = - \frac{2 + 13}{2}, b = - - \frac{2 + 13}{2}, b = \frac{13 - 2}{2}, b = - \frac{13 - 2}{2}

验证解

找到无定义的点（奇点）:

b = 0

将不在定义域的点与解相综合:

b = - \frac{2 + 13}{2}, b = - - \frac{2 + 13}{2}, b = \frac{13 - 2}{2}, b = - \frac{13 - 2}{2}

\frac{3}{7} + \frac{\frac{1}{7}}{x} = \frac{7}{14}

0.8 = \frac{( ( 0.8 - y ) ( 0.8 - y ) )}{( 0.4 + y )}

\frac{7}{5 ( x + \frac{1}{2} ) - 0.7} = 3 (- x - 1.2) + 5

4 \cdot (\frac{10}{x})^{2} - 6 \cdot (\frac{10}{x})^{2} + 3 \cdot (\frac{10}{x})^{2} = 1

\frac{( 1 + x )}{( 11 - x )} = \frac{1}{3}