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人気のある代数 >

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

解

解く

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

解

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

解答ステップ

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

\frac{x ^{2}}{b ^{2}}

を右側に移動します

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

以下で両辺を乗じる:

a^{2}

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

x^{2} = f (a)

の場合, 解は

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

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

簡素化

a^{2} - \frac{a ^{2} x ^{2}}{b ^{2}} : \frac{a b ^{2} - x ^{2}}{b}

簡素化

- a^{2} - \frac{a ^{2} x ^{2}}{b ^{2}} : - \frac{a b ^{2} - x ^{2}}{b}

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

グラフ

人気の例

1.163x^2-4.44x=0

1.163 x^{2} - 4.44 x = 0

solvefor x,x^2+5.35x+9.125=0

so l v e f or x, x^{2} + 5.35 x + 9.125 = 0

x^{2} - 4 x + 25 = 0

x^{2} + 3 = - 2 x

24x^2-168x+240=0

24 x^{2} - 168 x + 240 = 0