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人気のある代数 >

18x^4+6x^3-24x^2-8x=0

解

18 x^{4} + 6 x^{3} - 24 x^{2} - 8 x = 0

解

x = 0, x = - \frac{1}{3}, x = - \frac{2}{3}, x = \frac{2}{3}

+1

十進法表記

x = 0, x = - 0.33333 \dots, x = - 1.15470 \dots, x = 1.15470 \dots

解答ステップ

18 x^{4} + 6 x^{3} - 24 x^{2} - 8 x = 0

因数

18 x^{4} + 6 x^{3} - 24 x^{2} - 8 x : 2 x (3 x + 1) (3 x + 2) (3 x - 2)

2 x (3 x + 1) (3 x + 2) (3 x - 2) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x = 0 or 3 x + 1 = 0 or 3 x + 2 = 0 or 3 x - 2 = 0

解く

3 x + 1 = 0 : x = - \frac{1}{3}

解く

3 x + 2 = 0 : x = - \frac{2}{3}

解く

3 x - 2 = 0 : x = \frac{2}{3}

解答は

x = 0, x = - \frac{1}{3}, x = - \frac{2}{3}, x = \frac{2}{3}

グラフ

人気の例

x^4-3x^3-3x^2+7x+6=0

x^{4} - 3 x^{3} - 3 x^{2} + 7 x + 6 = 0

x^{3} + 7 x^{2} - 3 x = 21

2m^3(4-3m)(5m+2/3)=0

2 m^{3} (4 - 3 m) (5 m + \frac{2}{3}) = 0

5x^3+7x^2-20x-28=0

5 x^{3} + 7 x^{2} - 20 x - 28 = 0

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