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人気のある代数 >

2(2x^4-3x^2)+2=-2x^2(x^2+2)+x^2+11

解

2 (2 x^{4} - 3 x^{2}) + 2 = - 2 x^{2} (x^{2} + 2) + x^{2} + 11

解

x = \frac{3}{2}, x = - \frac{3}{2}, x = i, x = - i

解答ステップ

2 (2 x^{4} - 3 x^{2}) + 2 = - 2 x^{2} (x^{2} + 2) + x^{2} + 11

拡張

2 (2 x^{4} - 3 x^{2}) + 2 : 4 x^{4} - 6 x^{2} + 2

拡張

- 2 x^{2} (x^{2} + 2) + x^{2} + 11 : - 2 x^{4} - 3 x^{2} + 11

4 x^{4} - 6 x^{2} + 2 = - 2 x^{4} - 3 x^{2} + 11

11

を左側に移動します

4 x^{4} - 6 x^{2} - 9 = - 2 x^{4} - 3 x^{2}

3 x^{2}

を左側に移動します

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

2 x^{4}

を左側に移動します

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

6 u^{2} - 3 u - 9 = 0

解く

6 u^{2} - 3 u - 9 = 0 : u = \frac{3}{2}, u = - 1

u = \frac{3}{2}, u = - 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = \frac{3}{2}, x = - \frac{3}{2}, x = i, x = - i

グラフ

人気の例

a^{3} = 64

x^3+2020x^2+20x-5=0

x^{3} + 2020 x^{2} + 20 x - 5 = 0

x^{4} = - 16 x^{2}

a^4=49+20sqrt(6)

a^{4} = 49 + 206

2 x^{6} - 17 x^{3} + 8 = 0