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人気のある代数 >

2x^8-3+5=20

解

2 x^{8} - 3 + 5 = 20

解

x = 3, x = - 3, x = 3 i, x = - 3 i, x = \frac{4 3}{2} + \frac{4 3}{2} i, x = - \frac{4 3}{2} - \frac{4 3}{2} i, x = \frac{4 3}{2} - \frac{4 3}{2} i, x = - \frac{4 3}{2} + \frac{4 3}{2} i

解答ステップ

2 x^{8} - 3 + 5 = 20

3

を右側に移動します

2 x^{8} + 5 = 23

5

を右側に移動します

2 x^{8} = 18

以下で両辺を割る

2

x^{8} = 9

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = 9

解く

u^{4} = 9 : u = 3, u = - 3, u = 3 i, u = - 3 i

u = 3, u = - 3, u = 3 i, u = - 3 i

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} = - 3 : x = 3 i, x = - 3 i

解く

x^{2} = 3 i : x = \frac{4 3}{2} + \frac{4 3}{2} i, x = - \frac{4 3}{2} - \frac{4 3}{2} i

解く

x^{2} = - 3 i : x = \frac{4 3}{2} - \frac{4 3}{2} i, x = - \frac{4 3}{2} + \frac{4 3}{2} i

解答は

x = 3, x = - 3, x = 3 i, x = - 3 i, x = \frac{4 3}{2} + \frac{4 3}{2} i, x = - \frac{4 3}{2} - \frac{4 3}{2} i, x = \frac{4 3}{2} - \frac{4 3}{2} i, x = - \frac{4 3}{2} + \frac{4 3}{2} i

グラフ

人気の例

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

3 v + 126 = 4 v^{3}

25 x^{4} - 3 = 13

64x^3-112x^2-4x+7=0

64 x^{3} - 112 x^{2} - 4 x + 7 = 0

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