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人気のある代数 >

x^4-5x^24=0

解

x^{4} - 5 x^{2} 4 = 0

解

x = 25, x = - 25, x = 0

+1

十進法表記

x = 4.47213 \dots, x = - 4.47213 \dots, x = 0

解答ステップ

x^{4} - 5 x^{2} \cdot 4 = 0

拡張

x^{4} - 5 x^{2} \cdot 4 : x^{4} - 20 x^{2}

x^{4} - 20 x^{2} = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 20 u = 0

解く

u^{2} - 20 u = 0 : u = 20, u = 0

u = 20, u = 0

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 20 : x = 25, x = - 25

解く

x^{2} = 0 : x = 0

解答は

x = 25, x = - 25, x = 0

グラフ

人気の例

solvefor V= 4/3 pir^3,r

so l v e f or V = \frac{4}{3} π r^{3}, r

(x^3-1)(x^5-1)=0

(x^{3} - 1) (x^{5} - 1) = 0

\frac{2 x ^{4} - 1}{8} = 0

y^{3} - 3 = 1

(x^2+4)^2-13(x^2+4)+40=0

(x^{2} + 4)^{2} - 13 (x^{2} + 4) + 40 = 0