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人気のある代数 >

solvefor x,y^2(a^2+x^2)=a^2x^2

解

解く

x, y^{2} (a^{2} + x^{2}) = a^{2} x^{2}

解

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

解答ステップ

y^{2} (a^{2} + x^{2}) = a^{2} x^{2}

a^{2} x^{2}

を左側に移動します

y^{2} (a^{2} + x^{2}) - a^{2} x^{2} = 0

拡張

y^{2} (a^{2} + x^{2}) : a^{2} y^{2} + y^{2} x^{2}

a^{2} y^{2} + y^{2} x^{2} - a^{2} x^{2} = 0

a^{2} y^{2}

を右側に移動します

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

因数

y^{2} x^{2} - a^{2} x^{2} : x^{2} (y^{2} - a^{2})

x^{2} (y^{2} - a^{2}) = - a^{2} y^{2}

以下で両辺を割る

y^{2} - a^{2}; a \neq = y, a \neq = - y

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

x^{2} = f (a)

の場合, 解は

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

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

簡素化

- \frac{a ^{2} y ^{2}}{y ^{2} - a ^{2}} : i \frac{a ^{2} y ^{2}}{y ^{2} - a ^{2}}

簡素化

- - \frac{a ^{2} y ^{2}}{y ^{2} - a ^{2}} : - i \frac{a ^{2} y ^{2}}{y ^{2} - a ^{2}}

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

グラフ

人気の例

(y+k)^2-2y^2-2(k+1)y-10=0

(y + k)^{2} - 2 y^{2} - 2 (k + 1) y - 10 = 0

n = 60 h^{2}

solvefor x,(x^2+4x+20)*y=23sin(b)-15cos(t)

so l v e f or x, (x^{2} + 4 x + 20) \cdot y = 23 sin (b) - 15 cos (t)

4sqrt(3)*x^2-2x-2sqrt(3)=0

43 \cdot x^{2} - 2 x - 23 = 0

solvefor y,(t)[17(2-y)-5(y+12)](1-7y)=8

so l v e f or y, (t) [17 (2 - y) - 5 (y + 12)] (1 - 7 y) = 8