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人気のある代数 >

w^4-14000w^2+12000000=0

解

w^{4} - 14000 w^{2} + 12000000 = 0

解

w = \frac{14000 + 148000000}{2}, w = - \frac{14000 + 148000000}{2}, w = \frac{14000 - 148000000}{2}, w = - \frac{14000 - 148000000}{2}

+1

十進法表記

w = 114.37990 \dots, w = - 114.37990 \dots, w = 30.28592 \dots, w = - 30.28592 \dots

解答ステップ

w^{4} - 14000 w^{2} + 12000000 = 0

equationを

u = w^{2}

と以下で書き換える:

u^{2} = w^{4}

u^{2} - 14000 u + 12000000 = 0

解く

u^{2} - 14000 u + 12000000 = 0 : u = \frac{14000 + 148000000}{2}, u = \frac{14000 - 148000000}{2}

u = \frac{14000 + 148000000}{2}, u = \frac{14000 - 148000000}{2}

再び

u = w^{2}

に置き換えて以下を解く:

w

解く

w^{2} = \frac{14000 + 148000000}{2} : w = \frac{14000 + 148000000}{2}, w = - \frac{14000 + 148000000}{2}

解く

w^{2} = \frac{14000 - 148000000}{2} : w = \frac{14000 - 148000000}{2}, w = - \frac{14000 - 148000000}{2}

解答は

w = \frac{14000 + 148000000}{2}, w = - \frac{14000 + 148000000}{2}, w = \frac{14000 - 148000000}{2}, w = - \frac{14000 - 148000000}{2}

グラフ

人気の例

x^{4} - 8 x^{2} + 3 = 0

2 x^{3} - 5 x + 3 = 0

x^{5} = 100 x^{3}

x^{3} - 2 x^{2} + 7 = 0

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

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