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人気のある代数 >

x^4=5x^2-6

解

x^{4} = 5 x^{2} - 6

解

x = 3, x = - 3, x = 2, x = - 2

+1

十進法表記

x = 1.73205 \dots, x = - 1.73205 \dots, x = 1.41421 \dots, x = - 1.41421 \dots

解答ステップ

x^{4} = 5 x^{2} - 6

6

を左側に移動します

x^{4} + 6 = 5 x^{2}

5 x^{2}

を左側に移動します

x^{4} + 6 - 5 x^{2} = 0

標準的な形式で書く

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{4} - 5 x^{2} + 6 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 5 u + 6 = 0

解く

u^{2} - 5 u + 6 = 0 : u = 3, u = 2

u = 3, u = 2

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 3 : x = 3, x = - 3

解く

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

解答は

x = 3, x = - 3, x = 2, x = - 2

グラフ

人気の例

b^{3} + b^{2} = 108

-2n^3+9n^2-11n+2=0

- 2 n^{3} + 9 n^{2} - 11 n + 2 = 0

x \cdot = x^{3}

solvefor x,(3x+2y)^3=10^3

so l v e f or x, (3 x + 2 y)^{3} = 1 0^{3}

(x^2-5x+4)^2-5(x^2-5x)-18=0

(x^{2} - 5 x + 4)^{2} - 5 (x^{2} - 5 x) - 18 = 0