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人気のある代数 >

(12m-4m^2)^2-4(1+m^2)(4m^2-24m+20)=0

解

(12 m - 4 m^{2})^{2} - 4 (1 + m^{2}) (4 m^{2} - 24 m + 20) = 0

解

m = \frac{- 3 + 2 6}{3}, m = - \frac{3 + 2 6}{3}

+1

十進法表記

m = 0.63299 \dots, m = - 2.63299 \dots

解答ステップ

(12 m - 4 m^{2})^{2} - 4 (1 + m^{2}) (4 m^{2} - 24 m + 20) = 0

拡張

(12 m - 4 m^{2})^{2} - 4 (1 + m^{2}) (4 m^{2} - 24 m + 20) : 48 m^{2} + 96 m - 80

48 m^{2} + 96 m - 80 = 0

解くとthe二次式

m_{1, 2} = \frac{- 96 \pm 9 6 ^{2} - 4 \cdot 48 ( - 80 )}{2 \cdot 48}

9 6^{2} - 4 \cdot 48 (- 80) = 646

m_{1, 2} = \frac{- 96 \pm 64 6}{2 \cdot 48}

解を分離する

m_{1} = \frac{- 96 + 64 6}{2 \cdot 48}, m_{2} = \frac{- 96 - 64 6}{2 \cdot 48}

m = \frac{- 96 + 64 6}{2 \cdot 48} : \frac{- 3 + 2 6}{3}

m = \frac{- 96 - 64 6}{2 \cdot 48} : - \frac{3 + 2 6}{3}

二次equationの解:

m = \frac{- 3 + 2 6}{3}, m = - \frac{3 + 2 6}{3}

グラフ

人気の例

quadraticformula-x^2+7x-10=0

q u a d r a t i c f or m u l a - x^{2} + 7 x - 10 = 0

x^{2} + 19 x + 18 = 0

5 n^{2} - 42 = 23 n

6 x^{2} - 26 x + 20 = 0

4 x + 4 = - x^{2}