12x^2-288x+1152=0

解

12 x^{2} - 288 x + 1152 = 0

x = 4 (3 + 3), x = 4 (3 - 3)

十進法表記

x = 18.92820 \dots, x = 5.07179 \dots

解答ステップ

12 x^{2} - 288 x + 1152 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 288 ) \pm ( - 288 ) ^{2} - 4 \cdot 12 \cdot 1152}{2 \cdot 12}

(- 288)^{2} - 4 \cdot 12 \cdot 1152 = 963

x_{1, 2} = \frac{- ( - 288 ) \pm 96 3}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 288 ) + 96 3}{2 \cdot 12}, x_{2} = \frac{- ( - 288 ) - 96 3}{2 \cdot 12}

x = \frac{- ( - 288 ) + 96 3}{2 \cdot 12} : 4 (3 + 3)

x = \frac{- ( - 288 ) - 96 3}{2 \cdot 12} : 4 (3 - 3)

二次equationの解:

x = 4 (3 + 3), x = 4 (3 - 3)