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人気のある代数 >

3x^4+17x^2-6=0

解

3 x^{4} + 17 x^{2} - 6 = 0

解

x = \frac{1}{3}, x = - \frac{1}{3}, x = 6 i, x = - 6 i

解答ステップ

3 x^{4} + 17 x^{2} - 6 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

3 u^{2} + 17 u - 6 = 0

解く

3 u^{2} + 17 u - 6 = 0 : u = \frac{1}{3}, u = - 6

u = \frac{1}{3}, u = - 6

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = - 6 : x = 6 i, x = - 6 i

解答は

x = \frac{1}{3}, x = - \frac{1}{3}, x = 6 i, x = - 6 i

グラフ

人気の例

3x^3-10x^2-9x+4=0

3 x^{3} - 10 x^{2} - 9 x + 4 = 0

20 x^{3} - 18 x = 0

x^{4} + 8 x^{2} + 12 = 0

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

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

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