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人気のある代数 >

(4x-3)^2+(4x+3)^2=25

解

(4 x - 3)^{2} + (4 x + 3)^{2} = 25

解

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

+1

十進法表記

x = 0.46770 \dots, x = - 0.46770 \dots

解答ステップ

(4 x - 3)^{2} + (4 x + 3)^{2} = 25

拡張

(4 x - 3)^{2} + (4 x + 3)^{2} : 32 x^{2} + 18

32 x^{2} + 18 = 25

25

を左側に移動します

32 x^{2} - 7 = 0

解くとthe二次式

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 32 ( - 7 )}{2 \cdot 32}

0^{2} - 4 \cdot 32 (- 7) = 814

x_{1, 2} = \frac{- 0 \pm 8 14}{2 \cdot 32}

解を分離する

x_{1} = \frac{- 0 + 8 14}{2 \cdot 32}, x_{2} = \frac{- 0 - 8 14}{2 \cdot 32}

x = \frac{- 0 + 8 14}{2 \cdot 32} : \frac{7}{4 2}

x = \frac{- 0 - 8 14}{2 \cdot 32} : - \frac{7}{4 2}

二次equationの解:

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

グラフ

人気の例

4 x^{2} + 3 x = c

100-4x=0.6x^2-12x+80

100 - 4 x = 0.6 x^{2} - 12 x + 80

75 = 3 w^{2}

5 y (y - 2) = 2

3x(x-3)=11x^2-10x

3 x (x - 3) = 11 x^{2} - 10 x