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人気のある代数 >

(-18m^2)^2-4(1+m^2)(81m^2-49)=0

解

(- 18 m^{2})^{2} - 4 (1 + m^{2}) (81 m^{2} - 49) = 0

解

m = - \frac{7}{4 2}, m = \frac{7}{4 2}

+1

十進法表記

m = - 1.23743 \dots, m = 1.23743 \dots

解答ステップ

(- 18 m^{2})^{2} - 4 (1 + m^{2}) (81 m^{2} - 49) = 0

拡張

(- 18 m^{2})^{2} - 4 (1 + m^{2}) (81 m^{2} - 49) : - 128 m^{2} + 196

- 128 m^{2} + 196 = 0

解くとthe二次式

m_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 ( - 128 ) \cdot 196}{2 ( - 128 )}

0^{2} - 4 (- 128) \cdot 196 = 2242

m_{1, 2} = \frac{- 0 \pm 224 2}{2 ( - 128 )}

解を分離する

m_{1} = \frac{- 0 + 224 2}{2 ( - 128 )}, m_{2} = \frac{- 0 - 224 2}{2 ( - 128 )}

m = \frac{- 0 + 224 2}{2 ( - 128 )} : - \frac{7}{4 2}

m = \frac{- 0 - 224 2}{2 ( - 128 )} : \frac{7}{4 2}

二次equationの解:

m = - \frac{7}{4 2}, m = \frac{7}{4 2}

グラフ

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