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人気のある代数 >

((a^2)/3)^2+(a)^2=50

解

(\frac{a ^{2}}{3})^{2} + (a)^{2} = 50

解

a = \frac{- 9 + 3 209}{2}, a = - \frac{- 9 + 3 209}{2}, a = \frac{- 9 - 3 209}{2}, a = - \frac{- 9 - 3 209}{2}

解答ステップ

(\frac{a ^{2}}{3})^{2} + a^{2} = 50

拡張

(\frac{a ^{2}}{3})^{2} + a^{2} : \frac{a ^{4}}{9} + a^{2}

\frac{a ^{4}}{9} + a^{2} = 50

50

を左側に移動します

\frac{a ^{4}}{9} + a^{2} - 50 = 0

標準的な形式で書く

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

\frac{1 \cdot a ^{4}}{9} + a^{2} - 50 = 0

equationを

u = a^{2}

と以下で書き換える:

u^{2} = a^{4}

\frac{1 \cdot u ^{2}}{9} + u - 50 = 0

解く

\frac{1 \cdot u ^{2}}{9} + u - 50 = 0 : u = \frac{- 9 + 3 209}{2}, u = \frac{- 9 - 3 209}{2}

u = \frac{- 9 + 3 209}{2}, u = \frac{- 9 - 3 209}{2}

再び

u = a^{2}

に置き換えて以下を解く:

a

解く

a^{2} = \frac{- 9 + 3 209}{2} : a = \frac{- 9 + 3 209}{2}, a = - \frac{- 9 + 3 209}{2}

解く

a^{2} = \frac{- 9 - 3 209}{2} : a = \frac{- 9 - 3 209}{2}, a = - \frac{- 9 - 3 209}{2}

解答は

a = \frac{- 9 + 3 209}{2}, a = - \frac{- 9 + 3 209}{2}, a = \frac{- 9 - 3 209}{2}, a = - \frac{- 9 - 3 209}{2}

グラフ

人気の例

k = m^{2} v^{3}

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2 x^{4} + 5 x^{3} + 2 x^{2} - 45 x = 0

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6 x^{4} - 29 x^{3} + 30 x^{2} = 6 - 11 x

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