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人気のある代数 >

solvefor x,b^2x^2-a^2y^2=a^2b^2

解

解く

x, b^{2} x^{2} - a^{2} y^{2} = a^{2} b^{2}

解

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

解答ステップ

b^{2} x^{2} - a^{2} y^{2} = a^{2} b^{2}

a^{2} y^{2}

を右側に移動します

b^{2} x^{2} = a^{2} b^{2} + a^{2} y^{2}

以下で両辺を割る

b^{2}; b \neq = 0

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

x^{2} = f (a)

の場合, 解は

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

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

簡素化

\frac{b ^{2} a ^{2} + a ^{2} y ^{2}}{b ^{2}} : \frac{a b ^{2} + y ^{2}}{b}

簡素化

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

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

グラフ

人気の例

1 0^{2} + x^{2} = 6^{2}

solvefor x,2x^2y=0

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

x^{2} + 6 b = 0

9 x^{2} - 5 x = 4

solvefor x,y+x^2=0

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