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人気のある代数 >

x^2*x^2-2x^2+2=0

解

x^{2} \cdot x^{2} - 2 x^{2} + 2 = 0

解

x = \frac{1 + 2}{2} + \frac{1}{2 1 + 2} i, x = - \frac{1 + 2}{2} - \frac{1}{2 1 + 2} i, x = \frac{1 + 2}{2} - \frac{1}{2 1 + 2} i, x = - \frac{1 + 2}{2} + \frac{1}{2 1 + 2} i

解答ステップ

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

改良

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

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

解く

u^{2} - 2 u + 2 = 0 : u = 1 + i, u = 1 - i

u = 1 + i, u = 1 - i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = \frac{1 + 2}{2} + \frac{1}{2 1 + 2} i, x = - \frac{1 + 2}{2} - \frac{1}{2 1 + 2} i, x = \frac{1 + 2}{2} - \frac{1}{2 1 + 2} i, x = - \frac{1 + 2}{2} + \frac{1}{2 1 + 2} i

グラフ

人気の例

solvefor t,y=(7-t^4)^2+2

so l v e f or t, y = (7 - t^{4})^{2} + 2

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

3x^3-15x^2-42x=0

3 x^{3} - 15 x^{2} - 42 x = 0

2x^5-x^3+2x^2=1

2 x^{5} - x^{3} + 2 x^{2} = 1

m^{10}+8m=-10m-8

m^{10} + 8 m = - 10 m - 8