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人気のある代数 >

x^6-x^3=2

解

x^{6} - x^{3} = 2

解

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

解答ステップ

x^{6} - x^{3} = 2

2

を左側に移動します

x^{6} - x^{3} - 2 = 0

equationを

u = x^{3}

と以下で書き換える:

u^{2} = x^{6}

u^{2} - u - 2 = 0

解く

u^{2} - u - 2 = 0 : u = 2, u = - 1

u = 2, u = - 1

再び

u = x^{3}

に置き換えて以下を解く:

x

解く

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

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

グラフ

人気の例

- x^{3} + 3 = 0

(2-x)^3-(2-x)=0

(2 - x)^{3} - (2 - x) = 0

x^4-x^3-6x^2+4x+8=0

x^{4} - x^{3} - 6 x^{2} + 4 x + 8 = 0

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

solvefor x,0=324x^3-144xy

so l v e f or x, 0 = 324 x^{3} - 144 x y