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人気のある代数 >

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

解

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

解

x = 2 i, x = - 2 i, x = 2, x = - 2

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

- u^{2} + 2 u + 8 = 0

解く

- u^{2} + 2 u + 8 = 0 : u = - 2, u = 4

u = - 2, u = 4

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = 2 i, x = - 2 i, x = 2, x = - 2

グラフ

人気の例

x^4-18x^3+103x^2+214x+192=0

x^{4} - 18 x^{3} + 103 x^{2} + 214 x + 192 = 0

solvefor x,x^5+y^4=500

so l v e f or x, x^{5} + y^{4} = 500

solvefor h,[h^3o]=1.1*10^{-1}3

so l v e f or h, [h^{3} o] = 1.1 \cdot 1 0^{- 1} 3

x^{3} = - 216

10x^4-13x^3+15x^2-18x-24=0

10 x^{4} - 13 x^{3} + 15 x^{2} - 18 x - 24 = 0