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人気のある代数 >

x^6=36

解

x^{6} = 36

解

x = 336, x = - 336, x = 0.90856 \dots + 1.57367 \dots i, x = - 0.90856 \dots - 1.57367 \dots i, x = 0.90856 \dots - 1.57367 \dots i, x = - 0.90856 \dots + 1.57367 \dots i

解答ステップ

x^{6} = 36

equationを

u = x^{2}

と以下で書き換える:

u^{3} = x^{6}

u^{3} = 36

解く

u^{3} = 36 : u = 336, u = 336 \frac{- 1 + 3 i}{2}, u = 336 \frac{- 1 - 3 i}{2}

u = 336, u = 336 \frac{- 1 + 3 i}{2}, u = 336 \frac{- 1 - 3 i}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 336 : x = 336, x = - 336

解く

x^{2} = 336 \frac{- 1 + 3 i}{2} : x = 0.90856 \dots + 1.57367 \dots i, x = - 0.90856 \dots - 1.57367 \dots i

解く

x^{2} = 336 \frac{- 1 - 3 i}{2} : x = 0.90856 \dots - 1.57367 \dots i, x = - 0.90856 \dots + 1.57367 \dots i

解答は

x = 336, x = - 336, x = 0.90856 \dots + 1.57367 \dots i, x = - 0.90856 \dots - 1.57367 \dots i, x = 0.90856 \dots - 1.57367 \dots i, x = - 0.90856 \dots + 1.57367 \dots i

グラフ

人気の例

v^{3} = - 15

237537=200000(1+x)^5

237537 = 200000 (1 + x)^{5}

x^5+10x^3+20x-4=0

x^{5} + 10 x^{3} + 20 x - 4 = 0

x = 3 x^{4} - x^{2}

x^4-4x^3+2x^2-5x+7=0

x^{4} - 4 x^{3} + 2 x^{2} - 5 x + 7 = 0