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人気のある代数 >

-39=1-5x^9

解

- 39 = 1 - 5 x^{9}

解

x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i, x = 32 cos (\frac{2 π}{9}) + 32 i sin (\frac{2 π}{9}), x = 32 cos (\frac{8 π}{9}) + 32 i sin (\frac{8 π}{9}), x = 32 cos (\frac{14 π}{9}) + 32 i sin (\frac{14 π}{9}), x = 32 cos (\frac{2 π}{9}) - 32 i sin (\frac{2 π}{9}), x = 32 cos (\frac{4 π}{9}) + 32 i sin (\frac{4 π}{9}), x = 32 cos (\frac{10 π}{9}) + 32 i sin (\frac{10 π}{9})

解答ステップ

- 39 = 1 - 5 x^{9}

辺を交換する

1 - 5 x^{9} = - 39

1

を右側に移動します

- 5 x^{9} = - 40

以下で両辺を割る

- 5

x^{9} = 8

equationを

u = x^{3}

と以下で書き換える:

u^{3} = x^{9}

u^{3} = 8

解く

u^{3} = 8 : u = 38, u = 38 \frac{- 1 + 3 i}{2}, u = 38 \frac{- 1 - 3 i}{2}

u = 38, u = 38 \frac{- 1 + 3 i}{2}, u = 38 \frac{- 1 - 3 i}{2}

再び

u = x^{3}

に置き換えて以下を解く:

x

解く

x^{3} = 38 : x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i

解く

x^{3} = 38 \frac{- 1 + 3 i}{2} : x = 32 cos (\frac{2 π}{9}) + 32 i sin (\frac{2 π}{9}), x = 32 cos (\frac{8 π}{9}) + 32 i sin (\frac{8 π}{9}), x = 32 cos (\frac{14 π}{9}) + 32 i sin (\frac{14 π}{9})

解く

x^{3} = 38 \frac{- 1 - 3 i}{2} : x = 32 cos (\frac{2 π}{9}) - 32 i sin (\frac{2 π}{9}), x = 32 cos (\frac{4 π}{9}) + 32 i sin (\frac{4 π}{9}), x = 32 cos (\frac{10 π}{9}) + 32 i sin (\frac{10 π}{9})

解答は

x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i, x = 32 cos (\frac{2 π}{9}) + 32 i sin (\frac{2 π}{9}), x = 32 cos (\frac{8 π}{9}) + 32 i sin (\frac{8 π}{9}), x = 32 cos (\frac{14 π}{9}) + 32 i sin (\frac{14 π}{9}), x = 32 cos (\frac{2 π}{9}) - 32 i sin (\frac{2 π}{9}), x = 32 cos (\frac{4 π}{9}) + 32 i sin (\frac{4 π}{9}), x = 32 cos (\frac{10 π}{9}) + 32 i sin (\frac{10 π}{9})

グラフ

人気の例

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