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

解

(\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}

解答ステップ

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

簡素化

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

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

以下で両辺を乗じる:

4 b^{2}

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

解く

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}

解を検算する

未定義の (特異) 点を求める:

b = 0

未定義のポイントを解に組み合わせる:

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