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人気のある代数 >

x^6-5x^3+6=0

解

x^{6} - 5 x^{3} + 6 = 0

解

x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i, x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i

解答ステップ

x^{6} - 5 x^{3} + 6 = 0

equationを

u = x^{3}

と以下で書き換える:

u^{2} = x^{6}

u^{2} - 5 u + 6 = 0

解く

u^{2} - 5 u + 6 = 0 : u = 3, u = 2

u = 3, u = 2

再び

u = x^{3}

に置き換えて以下を解く:

x

解く

x^{3} = 3 : x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i

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

解答は

x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i, x = 32, x = - 32 \frac{1}{2} + 32 \frac{3}{2} i, x = - 32 \frac{1}{2} - 32 \frac{3}{2} i

グラフ

人気の例

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

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

根 x^4-4x^3+6x^2-4x+1

roo t s x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

3x^3+7x^2+147x+343=0

3 x^{3} + 7 x^{2} + 147 x + 343 = 0

z^{3} + 125 = 0

f a c t or x^{3} + x = 0