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人気のある代数 >

solvefor x,-12x^2+16x=-192

解

x, - 12 x^{2} + 16 x = - 192

解

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

+1

十進法表記

x = - 3.38850 \dots, x = 4.72184 \dots

解答ステップ

- 12 x^{2} + 16 x = - 192

192

を左側に移動します

- 12 x^{2} + 16 x + 192 = 0

解くとthe二次式

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 ( - 12 ) \cdot 192}{2 ( - 12 )}

1 6^{2} - 4 (- 12) \cdot 192 = 1637

x_{1, 2} = \frac{- 16 \pm 16 37}{2 ( - 12 )}

解を分離する

x_{1} = \frac{- 16 + 16 37}{2 ( - 12 )}, x_{2} = \frac{- 16 - 16 37}{2 ( - 12 )}

x = \frac{- 16 + 16 37}{2 ( - 12 )} : - \frac{2 ( 37 - 1 )}{3}

x = \frac{- 16 - 16 37}{2 ( - 12 )} : \frac{2 ( 1 + 37 )}{3}

二次equationの解:

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

グラフ

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