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人気のある代数 >

2x^3x^3x^2=6144

解

2 x^{3} x^{3} x^{2} = 6144

解

x = 2243, x = - 2243, x = 2243 i, x = - 2243 i, x = 4883 + 2^{\frac{3}{4}} 83 i, x = - 4883 - 2^{\frac{3}{4}} 83 i, x = 4883 - 2^{\frac{3}{4}} 83 i, x = - 4883 + 2^{\frac{3}{4}} 83 i

解答ステップ

2 x^{3} x^{3} x^{2} = 6144

簡素化

2 x^{8} = 6144

以下で両辺を割る

2

\frac{2 x ^{8}}{2} = \frac{6144}{2}

x^{8} = 3072

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = 3072

解く

u^{4} = 3072 : u = 4243, u = - 4243, u = 4243 i, u = - 4243 i

u = 4243, u = - 4243, u = 4243 i, u = - 4243 i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 4243 : x = 2243, x = - 2243

解く

x^{2} = - 4243 : x = 2243 i, x = - 2243 i

解く

x^{2} = 4243 i : x = 4883 + 2^{\frac{3}{4}} 83 i, x = - 4883 - 2^{\frac{3}{4}} 83 i

解く

x^{2} = - 4243 i : x = 4883 - 2^{\frac{3}{4}} 83 i, x = - 4883 + 2^{\frac{3}{4}} 83 i

解答は

x = 2243, x = - 2243, x = 2243 i, x = - 2243 i, x = 4883 + 2^{\frac{3}{4}} 83 i, x = - 4883 - 2^{\frac{3}{4}} 83 i, x = 4883 - 2^{\frac{3}{4}} 83 i, x = - 4883 + 2^{\frac{3}{4}} 83 i

グラフ

人気の例

(2x+1)^2-(x^2+2)(x^2-2)=4,x+1/4-3=4

(2 x + 1)^{2} - (x^{2} + 2) (x^{2} - 2) = 4, x + \frac{1}{4} - 3 = 4

x^{6} - 7 x^{3} + 12 = 0

8x^4-96x^3+320x^2+588x-1764=0

8 x^{4} - 96 x^{3} + 320 x^{2} + 588 x - 1764 = 0

m^{4} = 625

5x^3+4x^2-12x=0

5 x^{3} + 4 x^{2} - 12 x = 0