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人気のある代数 >

x^4-12x^2+16=0

解

x^{4} - 12 x^{2} + 16 = 0

解

x = 2 (3 + 5), x = - 2 (3 + 5), x = 2 (3 - 5), x = - 2 (3 - 5)

+1

十進法表記

x = 3.23606 \dots, x = - 3.23606 \dots, x = 1.23606 \dots, x = - 1.23606 \dots

解答ステップ

x^{4} - 12 x^{2} + 16 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 12 u + 16 = 0

解く

u^{2} - 12 u + 16 = 0 : u = 2 (3 + 5), u = 2 (3 - 5)

u = 2 (3 + 5), u = 2 (3 - 5)

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 2 (3 + 5) : x = 2 (3 + 5), x = - 2 (3 + 5)

解く

x^{2} = 2 (3 - 5) : x = 2 (3 - 5), x = - 2 (3 - 5)

解答は

x = 2 (3 + 5), x = - 2 (3 + 5), x = 2 (3 - 5), x = - 2 (3 - 5)

グラフ

人気の例

2(x^2-2x)^2-5(x^2-2x)=6

2 (x^{2} - 2 x)^{2} - 5 (x^{2} - 2 x) = 6

729 = x^{3}

solvefor z,z^6+4z^3+16=0

so l v e f or z, z^{6} + 4 z^{3} + 16 = 0

(2-j)z^4+1-2j=0

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

343 = x^{3}