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人気のある代数 >

a^4-14a^2+24=0

解

a^{4} - 14 a^{2} + 24 = 0

解

a = 23, a = - 23, a = 2, a = - 2

+1

十進法表記

a = 3.46410 \dots, a = - 3.46410 \dots, a = 1.41421 \dots, a = - 1.41421 \dots

解答ステップ

a^{4} - 14 a^{2} + 24 = 0

equationを

u = a^{2}

と以下で書き換える:

u^{2} = a^{4}

u^{2} - 14 u + 24 = 0

解く

u^{2} - 14 u + 24 = 0 : u = 12, u = 2

u = 12, u = 2

再び

u = a^{2}

に置き換えて以下を解く:

a

解く

a^{2} = 12 : a = 23, a = - 23

解く

a^{2} = 2 : a = 2, a = - 2

解答は

a = 23, a = - 23, a = 2, a = - 2

グラフ

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