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人気のある代数 >

(3+x)^2+(13+x^2)=256

解

(3 + x)^{2} + (13 + x^{2}) = 256

解

x = \frac{3 ( 53 - 1 )}{2}, x = - \frac{3 ( 1 + 53 )}{2}

+1

十進法表記

x = 9.42016 \dots, x = - 12.42016 \dots

解答ステップ

(3 + x)^{2} + (13 + x^{2}) = 256

拡張

(3 + x)^{2} + (13 + x^{2}) : 2 x^{2} + 6 x + 22

2 x^{2} + 6 x + 22 = 256

256

を左側に移動します

2 x^{2} + 6 x - 234 = 0

解くとthe二次式

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 2 ( - 234 )}{2 \cdot 2}

6^{2} - 4 \cdot 2 (- 234) = 653

x_{1, 2} = \frac{- 6 \pm 6 53}{2 \cdot 2}

解を分離する

x_{1} = \frac{- 6 + 6 53}{2 \cdot 2}, x_{2} = \frac{- 6 - 6 53}{2 \cdot 2}

x = \frac{- 6 + 6 53}{2 \cdot 2} : \frac{3 ( 53 - 1 )}{2}

x = \frac{- 6 - 6 53}{2 \cdot 2} : - \frac{3 ( 1 + 53 )}{2}

二次equationの解:

x = \frac{3 ( 53 - 1 )}{2}, x = - \frac{3 ( 1 + 53 )}{2}

グラフ

人気の例

(3 x + 2) (x + 3) = 0

x^2-23.5x-1.75=0

x^{2} - 23.5 x - 1.75 = 0

x^2-9=0,(-3,-1,1,3)

x^{2} - 9 = 0, (- 3, - 1, 1, 3)

x^{2} + 7 x = - 8

x*0.45+(-(x^2)/(2(-8.5)))=50

x \cdot 0.45 + (- \frac{x ^{2}}{2 ( - 8.5 )}) = 50