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人気のある代数 >

4x^4+17x^2+4=0

解

4 x^{4} + 17 x^{2} + 4 = 0

解

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

解答ステップ

4 x^{4} + 17 x^{2} + 4 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} + 17 u + 4 = 0

解く

4 u^{2} + 17 u + 4 = 0 : u = - \frac{1}{4}, u = - 4

u = - \frac{1}{4}, u = - 4

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = - \frac{1}{4} : x = \frac{1}{2} i, x = - \frac{1}{2} i

解く

x^{2} = - 4 : x = 2 i, x = - 2 i

解答は

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

グラフ

人気の例

5 x^{5} = 25

solvefor x,x^3-x^2-2x=0

so l v e f or x, x^{3} - x^{2} - 2 x = 0

y^{4} = 16

x^{4} - 13 x^{2} + 30 = 0

16 x^{3} = 2