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人気のある代数 >

(3r)^2=15^2-(r+(r+1))^2

解

(3 r)^{2} = 1 5^{2} - (r + (r + 1))^{2}

解

r = - \frac{56}{13}, r = 4

+1

十進法表記

r = - 4.30769 \dots, r = 4

解答ステップ

(3 r)^{2} = 1 5^{2} - (r + (r + 1))^{2}

拡張

(3 r)^{2} : 9 r^{2}

拡張

1 5^{2} - (r + (r + 1))^{2} : - 4 r^{2} - 4 r + 224

9 r^{2} = - 4 r^{2} - 4 r + 224

辺を交換する

- 4 r^{2} - 4 r + 224 = 9 r^{2}

9 r^{2}

を左側に移動します

- 13 r^{2} - 4 r + 224 = 0

解くとthe二次式

r_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 ( - 13 ) \cdot 224}{2 ( - 13 )}

(- 4)^{2} - 4 (- 13) \cdot 224 = 108

r_{1, 2} = \frac{- ( - 4 ) \pm 108}{2 ( - 13 )}

解を分離する

r_{1} = \frac{- ( - 4 ) + 108}{2 ( - 13 )}, r_{2} = \frac{- ( - 4 ) - 108}{2 ( - 13 )}

r = \frac{- ( - 4 ) + 108}{2 ( - 13 )} : - \frac{56}{13}

r = \frac{- ( - 4 ) - 108}{2 ( - 13 )} : 4

二次equationの解:

r = - \frac{56}{13}, r = 4

グラフ

人気の例

4 x^{2} + 3 x = - 3 x

y^{2} + 17 y + 16 = 0

completesquare x^2+2x+50

co m pl e t es q u a re x^{2} + 2 x + 50

(6^2)/(15^2)+(x^2)/(10^2)=1

\frac{6 ^{2}}{1 5 ^{2}} + \frac{x ^{2}}{1 0 ^{2}} = 1

104.607075=0.1775x^2-36.621x+2005.1

104.607075 = 0.1775 x^{2} - 36.621 x + 2005.1