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人気のある代数 >

x^4-x^2-c=0

解

x^{4} - x^{2} - c = 0

解

x = \frac{1 + 1 + 4 c}{2}, x = - \frac{1 + 1 + 4 c}{2}, x = \frac{1 - 1 + 4 c}{2}, x = - \frac{1 - 1 + 4 c}{2}

解答ステップ

x^{4} - x^{2} - c = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - u - c = 0

解く

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

u = \frac{1 + 1 + 4 c}{2}, u = \frac{1 - 1 + 4 c}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = \frac{1 + 1 + 4 c}{2}, x = - \frac{1 + 1 + 4 c}{2}, x = \frac{1 - 1 + 4 c}{2}, x = - \frac{1 - 1 + 4 c}{2}

グラフ

人気の例

m^{3} - 8 = 0

x^3-2.6x^2-x+1.6=0

x^{3} - 2.6 x^{2} - x + 1.6 = 0

\frac{( 4 x ^{3} )}{2} = 91

X^{4} - 4 X + 3 = 0

(x^2-1)(x-4)-(x+1)(-x)=0

(x^{2} - 1) (x - 4) - (x + 1) (- x) = 0