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人気のある代数 >

4x^4-3x^2-1=0

解

4 x^{4} - 3 x^{2} - 1 = 0

解

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

解答ステップ

4 x^{4} - 3 x^{2} - 1 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} - 3 u - 1 = 0

解く

4 u^{2} - 3 u - 1 = 0 : u = 1, u = - \frac{1}{4}

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 1 : x = 1, x = - 1

解く

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

解答は

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

グラフ

人気の例

solvefor x,x^4-7x^2+6=0

so l v e f or x, x^{4} - 7 x^{2} + 6 = 0

5^{3} = (x + 2)^{3}

j^{3} = 0.125

(72) 4 = n^{8}

solvefor x,x^3-6y=8

so l v e f or x, x^{3} - 6 y = 8