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人気のある代数 >

(16x)^2+(9x)^2=43^2

解

(16 x)^{2} + (9 x)^{2} = 4 3^{2}

解

x = \frac{43}{337}, x = - \frac{43}{337}

+1

十進法表記

x = 2.34235 \dots, x = - 2.34235 \dots

解答ステップ

(16 x)^{2} + (9 x)^{2} = 4 3^{2}

拡張

(16 x)^{2} + (9 x)^{2} : 337 x^{2}

拡張

4 3^{2} : 1849

337 x^{2} = 1849

1849

を左側に移動します

337 x^{2} - 1849 = 0

解くとthe二次式

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 337 ( - 1849 )}{2 \cdot 337}

0^{2} - 4 \cdot 337 (- 1849) = 86337

x_{1, 2} = \frac{- 0 \pm 86 337}{2 \cdot 337}

解を分離する

x_{1} = \frac{- 0 + 86 337}{2 \cdot 337}, x_{2} = \frac{- 0 - 86 337}{2 \cdot 337}

x = \frac{- 0 + 86 337}{2 \cdot 337} : \frac{43}{337}

x = \frac{- 0 - 86 337}{2 \cdot 337} : - \frac{43}{337}

二次equationの解:

x = \frac{43}{337}, x = - \frac{43}{337}

グラフ

人気の例

solvefor x,ln(y)-1/(y^2)=(x^2)/2+c

so l v e f or x, ln (y) - \frac{1}{y ^{2}} = \frac{x ^{2}}{2} + c

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so l v e f or x, x^{2} - y^{2} + 2 x + 2 y = 0

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308 = (x^{2} - 154) 0.77

solvefor x,p^3-p(x^2+xy+y^2)+x^2y+xy^2=0

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6 k = k^{2}