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人気のある代数 >

solvefor x,x^4-2x^2-3=0

解

解く

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

解

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

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

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

解く

u^{2} - 2 u - 3 = 0 : u = 3, u = - 1

u = 3, u = - 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = - 1 : x = i, x = - i

解答は

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

グラフ

人気の例

8 y^{3} - 64 = 0

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

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

3x^2-x+54=3x^8+12

3 x^{2} - x + 54 = 3 x^{8} + 12

n^{3} - 6 n^{2} - 2 = 0

a^3+5a^2-9a-45=0

a^{3} + 5 a^{2} - 9 a - 45 = 0