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人気のある代数 >

16x^4-40x^2+9=0

解

16 x^{4} - 40 x^{2} + 9 = 0

解

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

+1

十進法表記

x = 1.5, x = - 1.5, x = 0.5, x = - 0.5

解答ステップ

16 x^{4} - 40 x^{2} + 9 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

16 u^{2} - 40 u + 9 = 0

解く

16 u^{2} - 40 u + 9 = 0 : u = \frac{9}{4}, u = \frac{1}{4}

u = \frac{9}{4}, 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} = \frac{9}{4} : x = \frac{3}{2}, x = - \frac{3}{2}

解く

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

解答は

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

グラフ

人気の例

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

(x+2)(x+3)(x+4)(x+5)=195

(x + 2) (x + 3) (x + 4) (x + 5) = 195

x^{10} = 0.9

x^{3} + 5 x + 17 = 59

(x-2)^2(x+2)=(x+1)(x+5)

(x - 2)^{2} (x + 2) = (x + 1) (x + 5)