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人気のある代数 >

(5x-2)(3x^2-12)(x^2+3x)=0

解

(5 x - 2) (3 x^{2} - 12) (x^{2} + 3 x) = 0

解

x = 0, x = - 2, x = 2, x = - 3, x = \frac{2}{5}

+1

十進法表記

x = 0, x = - 2, x = 2, x = - 3, x = 0.4

解答ステップ

(5 x - 2) (3 x^{2} - 12) (x^{2} + 3 x) = 0

因数

(5 x - 2) (3 x^{2} - 12) (x^{2} + 3 x) : 3 x (x + 2) (x - 2) (x + 3) (5 x - 2)

3 x (x + 2) (x - 2) (x + 3) (5 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 x + 2 = 0 or x - 2 = 0 or x + 3 = 0 or 5 x - 2 = 0

解く

x + 2 = 0 : x = - 2

解く

x - 2 = 0 : x = 2

解く

x + 3 = 0 : x = - 3

解く

5 x - 2 = 0 : x = \frac{2}{5}

解答は

x = 0, x = - 2, x = 2, x = - 3, x = \frac{2}{5}

グラフ

人気の例

4t^3-12t^2-40t+20=20

4 t^{3} - 12 t^{2} - 40 t + 20 = 20

4x^3-11x^2-4x-16=0

4 x^{3} - 11 x^{2} - 4 x - 16 = 0

x^{3} + 36 x = 0

16x^4-80x^2+89=0

16 x^{4} - 80 x^{2} + 89 = 0

x^5-12x^3+18-2x^2+27x=0

x^{5} - 12 x^{3} + 18 - 2 x^{2} + 27 x = 0