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人気のある代数 >

6x^5-11x^4-11x+6=0

解

6 x^{5} - 11 x^{4} - 11 x + 6 = 0

解

x = - 1, x = 2, x = \frac{1}{2}, x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

解答ステップ

6 x^{5} - 11 x^{4} - 11 x + 6 = 0

因数

6 x^{5} - 11 x^{4} - 11 x + 6 : (x + 1) (x - 2) (2 x - 1) (3 x^{2} - x + 3)

(x + 1) (x - 2) (2 x - 1) (3 x^{2} - x + 3) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

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

解く

x + 1 = 0 : x = - 1

解く

x - 2 = 0 : x = 2

解く

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

解く

3 x^{2} - x + 3 = 0 : x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

解答は

x = - 1, x = 2, x = \frac{1}{2}, x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

グラフ

人気の例

y^{3} - y^{2} + y - 1 = 0

240x^3+180x^2-1440x=0

240 x^{3} + 180 x^{2} - 1440 x = 0

x^3-11x^2+43x-65=0

x^{3} - 11 x^{2} + 43 x - 65 = 0

a^{5} + a^{2} = 36

x^{3} - 100 = 0