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人気のある代数 >

x^6+x^4+x^2=16275

解

x^{6} + x^{4} + x^{2} = 16275

解

x = 5, x = - 5, x = \frac{- 13 + 651}{2} + \frac{651 + 13}{2} i, x = - \frac{- 13 + 651}{2} - \frac{651 + 13}{2} i, x = \frac{- 13 + 651}{2} - \frac{651 + 13}{2} i, x = - \frac{- 13 + 651}{2} + \frac{651 + 13}{2} i

解答ステップ

x^{6} + x^{4} + x^{2} = 16275

16275

を左側に移動します

x^{6} + x^{4} + x^{2} - 16275 = 0

equationを

u = x^{2}, u^{2} = x^{4}

と以下で書き換える:

u^{3} = x^{6}

u^{3} + u^{2} + u - 16275 = 0

解く

u^{3} + u^{2} + u - 16275 = 0 : u = 25, u = - 13 + 482 i, u = - 13 - 482 i

u = 25, u = - 13 + 482 i, u = - 13 - 482 i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 25 : x = 5, x = - 5

解く

x^{2} = - 13 + 482 i : x = \frac{- 13 + 651}{2} + \frac{651 + 13}{2} i, x = - \frac{- 13 + 651}{2} - \frac{651 + 13}{2} i

解く

x^{2} = - 13 - 482 i : x = \frac{- 13 + 651}{2} - \frac{651 + 13}{2} i, x = - \frac{- 13 + 651}{2} + \frac{651 + 13}{2} i

解答は

x = 5, x = - 5, x = \frac{- 13 + 651}{2} + \frac{651 + 13}{2} i, x = - \frac{- 13 + 651}{2} - \frac{651 + 13}{2} i, x = \frac{- 13 + 651}{2} - \frac{651 + 13}{2} i, x = - \frac{- 13 + 651}{2} + \frac{651 + 13}{2} i

グラフ

人気の例

x^4+2x^3+x^2+2x+1=0

x^{4} + 2 x^{3} + x^{2} + 2 x + 1 = 0

x^4-5x^3+8x^2-5x+8=0

x^{4} - 5 x^{3} + 8 x^{2} - 5 x + 8 = 0

x^{4} + 2 x^{2} + 1 = 0

(z+1)^5=(1-z)^5

(z + 1)^{5} = (1 - z)^{5}

464(x^2+6.1)=11x^4

464 (x^{2} + 6.1) = 11 x^{4}