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人気のある代数 >

A=(x+1)(x-1)(x^2+1)+1

解

A = (x + 1) (x - 1) (x^{2} + 1) + 1

解

x = A, x = - A, x = i 4 A, x = - i 4 A

解答ステップ

A = (x + 1) (x - 1) (x^{2} + 1) + 1

拡張

(x + 1) (x - 1) (x^{2} + 1) + 1 : x^{4}

A = x^{4}

辺を交換する

x^{4} = A

A

を左側に移動します

x^{4} - A = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - A = 0

解く

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

u = A, u = - A

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = - A : x = i 4 A, x = - i 4 A

解答は

x = A, x = - A, x = i 4 A, x = - i 4 A

グラフ

人気の例

c^{3} + 9 = 10

x^{4} + 4 x^{2} - 60 = 0

x + x^{3} = 2

solvefor x,x^3-49x=0

so l v e f or x, x^{3} - 49 x = 0

(1-x)(1-x)(-1-x)-i(-i)(-1-x)=0

(1 - x) (1 - x) (- 1 - x) - i (- i) (- 1 - x) = 0