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人気のある代数 >

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

解

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

解

x = - \frac{1}{2}, x = \frac{1}{2}, x = - 1, x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

解答ステップ

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

1

を左側に移動します

2 x^{5} - x^{3} + 2 x^{2} - 1 = 0

因数

2 x^{5} - x^{3} + 2 x^{2} - 1 : (2 x + 1) (2 x - 1) (x + 1) (x^{2} - x + 1)

(2 x + 1) (2 x - 1) (x + 1) (x^{2} - x + 1) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

2 x + 1 = 0 or 2 x - 1 = 0 or x + 1 = 0 or x^{2} - x + 1 = 0

解く

2 x + 1 = 0 : x = - \frac{1}{2}

解く

2 x - 1 = 0 : x = \frac{1}{2}

解く

x + 1 = 0 : x = - 1

解く

x^{2} - x + 1 = 0 : x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

解答は

x = - \frac{1}{2}, x = \frac{1}{2}, x = - 1, x = \frac{1}{2} + i \frac{3}{2}, x = \frac{1}{2} - i \frac{3}{2}

グラフ

人気の例

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

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

x^{4} + x - 7 = 0

16 x^{3} - 16 = 0

x^4-8x^2+16x^2-4=x^2-4

x^{4} - 8 x^{2} + 16 x^{2} - 4 = x^{2} - 4

x^3-6x^2+2x-12=0

x^{3} - 6 x^{2} + 2 x - 12 = 0