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人気のある代数 >

solvefor x,3(13x^2-4y^2)=15y^2-2x^2

解

解く

x, 3 (13 x^{2} - 4 y^{2}) = 15 y^{2} - 2 x^{2}

解

x = \frac{3 3 y}{41}, x = - \frac{3 3 y}{41}

解答ステップ

3 (13 x^{2} - 4 y^{2}) = 15 y^{2} - 2 x^{2}

拡張

3 (13 x^{2} - 4 y^{2}) : 39 x^{2} - 12 y^{2}

39 x^{2} - 12 y^{2} = 15 y^{2} - 2 x^{2}

12 y^{2}

を右側に移動します

39 x^{2} = 27 y^{2} - 2 x^{2}

2 x^{2}

を左側に移動します

41 x^{2} = 27 y^{2}

以下で両辺を割る

41

x^{2} = \frac{27 y ^{2}}{41}

x^{2} = f (a)

の場合, 解は

x = f (a), - f (a)

x = \frac{27 y ^{2}}{41}, x = - \frac{27 y ^{2}}{41}

簡素化

\frac{27 y ^{2}}{41} : \frac{3 3 y}{41}

簡素化

- \frac{27 y ^{2}}{41} : - \frac{3 3 y}{41}

x = \frac{3 3 y}{41}, x = - \frac{3 3 y}{41}

グラフ

人気の例

u^{2} + 6 u + 5 = 0

9 j^{2} + 6 j + 1 = 0

6 x^{2} - 48 x + 42 = 0

completesquare 2x^2+4x-6=0

co m pl e t es q u a re 2 x^{2} + 4 x - 6 = 0

x^{2} - 4 = 1