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人気のある代数 >

x^4+3x^2-54=0

解

x^{4} + 3 x^{2} - 54 = 0

解

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

解答ステップ

x^{4} + 3 x^{2} - 54 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} + 3 u - 54 = 0

解く

u^{2} + 3 u - 54 = 0 : u = 6, u = - 9

u = 6, u = - 9

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

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

グラフ

人気の例

x^{5} + x^{2} + 1 = 0

(x-3)(x+4)(x+6)=0

(x - 3) (x + 4) (x + 6) = 0

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

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

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

solvefor h,5h(h^2+12)=68

so l v e f or h, 5 h (h^{2} + 12) = 68