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人気のある代数 >

15x^4-12x^2-3=0

解

15 x^{4} - 12 x^{2} - 3 = 0

解

x = 1, x = - 1, x = \frac{1}{5} i, x = - \frac{1}{5} i

解答ステップ

15 x^{4} - 12 x^{2} - 3 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

15 u^{2} - 12 u - 3 = 0

解く

15 u^{2} - 12 u - 3 = 0 : u = 1, u = - \frac{1}{5}

u = 1, u = - \frac{1}{5}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = - \frac{1}{5} : x = \frac{1}{5} i, x = - \frac{1}{5} i

解答は

x = 1, x = - 1, x = \frac{1}{5} i, x = - \frac{1}{5} i

グラフ

人気の例

根 2x^3-3x^2-11x+6

roo t s 2 x^{3} - 3 x^{2} - 11 x + 6

x^3+8x^2-36x=288

x^{3} + 8 x^{2} - 36 x = 288

x^3-9x^2+27x=20

x^{3} - 9 x^{2} + 27 x = 20

4x^4-14x^2+12=0

4 x^{4} - 14 x^{2} + 12 = 0

x^3-12x^2+256=0

x^{3} - 12 x^{2} + 256 = 0