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人気のある代数 >

-2(2)+b^9=59

解

- 2 (2) + b^{9} = 59

解

b = 3363, b = - 3363 \frac{1}{2} + 3363 \frac{3}{2} i, b = - 3363 \frac{1}{2} - 3363 \frac{3}{2} i, b = cos (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{8 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{8 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{14 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{14 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}} - i sin (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{4 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{4 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{10 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{10 π}{9}) 6 6 3^{\frac{2}{3}}

解答ステップ

- 2 (2) + b^{9} = 59

拡張

- 2 (2) + b^{9} : - 4 + b^{9}

- 4 + b^{9} = 59

4

を右側に移動します

b^{9} = 63

equationを

u = b^{3}

と以下で書き換える:

u^{3} = b^{9}

u^{3} = 63

解く

u^{3} = 63 : u = 363, u = 363 \frac{- 1 + 3 i}{2}, u = 363 \frac{- 1 - 3 i}{2}

u = 363, u = 363 \frac{- 1 + 3 i}{2}, u = 363 \frac{- 1 - 3 i}{2}

再び

u = b^{3}

に置き換えて以下を解く:

b

解く

b^{3} = 363 : b = 3363, b = - 3363 \frac{1}{2} + 3363 \frac{3}{2} i, b = - 3363 \frac{1}{2} - 3363 \frac{3}{2} i

解く

b^{3} = 363 \frac{- 1 + 3 i}{2} : b = cos (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{8 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{8 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{14 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{14 π}{9}) 6 6 3^{\frac{2}{3}}

解く

b^{3} = 363 \frac{- 1 - 3 i}{2} : b = cos (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}} - i sin (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{4 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{4 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{10 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{10 π}{9}) 6 6 3^{\frac{2}{3}}

解答は

b = 3363, b = - 3363 \frac{1}{2} + 3363 \frac{3}{2} i, b = - 3363 \frac{1}{2} - 3363 \frac{3}{2} i, b = cos (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{8 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{8 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{14 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{14 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}} - i sin (\frac{2 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{4 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{4 π}{9}) 6 6 3^{\frac{2}{3}}, b = cos (\frac{10 π}{9}) 6 6 3^{\frac{2}{3}} + i sin (\frac{10 π}{9}) 6 6 3^{\frac{2}{3}}

グラフ

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