(2x-3)(2x+3)-135=0

解

(2 x - 3) (2 x + 3) - 135 = 0

x = 6, x = - 6

解答ステップ

(2 x - 3) (2 x + 3) - 135 = 0

拡張

(2 x - 3) (2 x + 3) - 135 : 4 x^{2} - 144

4 x^{2} - 144 = 0

解くとthe二次式

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 4 ( - 144 )}{2 \cdot 4}

0^{2} - 4 \cdot 4 (- 144) = 48

x_{1, 2} = \frac{- 0 \pm 48}{2 \cdot 4}

解を分離する

x_{1} = \frac{- 0 + 48}{2 \cdot 4}, x_{2} = \frac{- 0 - 48}{2 \cdot 4}

x = \frac{- 0 + 48}{2 \cdot 4} : 6

x = \frac{- 0 - 48}{2 \cdot 4} : - 6

二次equationの解:

x = 6, x = - 6