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人気のある代数 >

r^9g+9-12g=19g+9

解

r^{9} g + 9 - 12 g = 19 g + 9

解

r = 3331, r = - 3331 \frac{1}{2} + 3331 \frac{3}{2} i, r = - 3331 \frac{1}{2} - 3331 \frac{3}{2} i, r = cos (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{8 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{8 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{14 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{14 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}} - i sin (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{4 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{4 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{10 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{10 π}{9}) 6 3 1^{\frac{2}{3}}

解答ステップ

r^{9} g + 9 - 12 g = 19 g + 9

12 g

を右側に移動します

r^{9} g + 9 = 31 g + 9

9

を右側に移動します

r^{9} g = 31 g

以下で両辺を割る

g; g \neq = 0

r^{9} = 31; g \neq = 0

equationを

u = r^{3}

と以下で書き換える:

u^{3} = r^{9}

u^{3} = 31

解く

u^{3} = 31 : u = 331, u = 331 \frac{- 1 + 3 i}{2}, u = 331 \frac{- 1 - 3 i}{2}

u = 331, u = 331 \frac{- 1 + 3 i}{2}, u = 331 \frac{- 1 - 3 i}{2}

再び

u = r^{3}

に置き換えて以下を解く:

r

解く

r^{3} = 331 : r = 3331, r = - 3331 \frac{1}{2} + 3331 \frac{3}{2} i, r = - 3331 \frac{1}{2} - 3331 \frac{3}{2} i

解く

r^{3} = 331 \frac{- 1 + 3 i}{2} : r = cos (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{8 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{8 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{14 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{14 π}{9}) 6 3 1^{\frac{2}{3}}

解く

r^{3} = 331 \frac{- 1 - 3 i}{2} : r = cos (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}} - i sin (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{4 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{4 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{10 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{10 π}{9}) 6 3 1^{\frac{2}{3}}

解答は

r = 3331, r = - 3331 \frac{1}{2} + 3331 \frac{3}{2} i, r = - 3331 \frac{1}{2} - 3331 \frac{3}{2} i, r = cos (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{8 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{8 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{14 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{14 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}} - i sin (\frac{2 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{4 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{4 π}{9}) 6 3 1^{\frac{2}{3}}, r = cos (\frac{10 π}{9}) 6 3 1^{\frac{2}{3}} + i sin (\frac{10 π}{9}) 6 3 1^{\frac{2}{3}}

グラフ

人気の例

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