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人気のある代数 >

solvefor x,(-x^2)/(a^2)+(y^2)/(b^2)=1

解

解く

x, \frac{- x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

解

x = \frac{ia b ^{2} - y ^{2}}{b}, x = - \frac{ia b ^{2} - y ^{2}}{b}; a \neq = 0

解答ステップ

\frac{- x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

\frac{y ^{2}}{b ^{2}}

を右側に移動します

\frac{- x ^{2}}{a ^{2}} = 1 - \frac{y ^{2}}{b ^{2}}

以下で両辺を乗じる:

a^{2}

- x^{2} = a^{2} - \frac{a ^{2} y ^{2}}{b ^{2}}; a \neq = 0

以下で両辺を割る

- 1; a \neq = 0

x^{2} = - \frac{a ^{2} b ^{2} - a ^{2} y ^{2}}{b ^{2}}; a \neq = 0

x^{2} = f (a)

の場合, 解は

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

x = - \frac{a ^{2} b ^{2} - a ^{2} y ^{2}}{b ^{2}}, x = - - \frac{a ^{2} b ^{2} - a ^{2} y ^{2}}{b ^{2}}; a \neq = 0

簡素化

- \frac{a ^{2} b ^{2} - a ^{2} y ^{2}}{b ^{2}} : \frac{ia b ^{2} - y ^{2}}{b}

簡素化

- - \frac{a ^{2} b ^{2} - a ^{2} y ^{2}}{b ^{2}} : - \frac{ia b ^{2} - y ^{2}}{b}

x = \frac{ia b ^{2} - y ^{2}}{b}, x = - \frac{ia b ^{2} - y ^{2}}{b}; a \neq = 0

グラフ

人気の例

3 - x^{2} = 5 x^{2} - 9

2 z^{2} + 5 z + 2 = 0

x^{2} + \frac{x}{3} - \frac{2}{9} = 0

x^{2} - 7 x + 8 = - 4

11(x-1)-2x^2=-3

11 (x - 1) - 2 x^{2} = - 3