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人気のある代数 >

x^4+27x^2-324=0

解

x^{4} + 27 x^{2} - 324 = 0

解

x = 3, x = - 3, x = 6 i, x = - 6 i

解答ステップ

x^{4} + 27 x^{2} - 324 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} + 27 u - 324 = 0

解く

u^{2} + 27 u - 324 = 0 : u = 9, u = - 36

u = 9, u = - 36

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 9 : x = 3, x = - 3

解く

x^{2} = - 36 : x = 6 i, x = - 6 i

解答は

x = 3, x = - 3, x = 6 i, x = - 6 i

グラフ

人気の例

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

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

solvefor x,(x)8x^2+4y^2=12

so l v e f or x, (x) 8 x^{2} + 4 y^{2} = 12

x^{5} - 2 x = 0

solvefor x,x^4-10x^2+9=0

so l v e f or x, x^{4} - 10 x^{2} + 9 = 0

x^4+4x^3-2x^2+9=0

x^{4} + 4 x^{3} - 2 x^{2} + 9 = 0