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人気のある代数 >

-3x^5-7x^4+x^3+7x^2+2x=0

解

- 3 x^{5} - 7 x^{4} + x^{3} + 7 x^{2} + 2 x = 0

解

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

+1

十進法表記

x = 0, x = - 1, x = 1, x = - 0.33333 \dots, x = - 2

解答ステップ

- 3 x^{5} - 7 x^{4} + x^{3} + 7 x^{2} + 2 x = 0

因数

- 3 x^{5} - 7 x^{4} + x^{3} + 7 x^{2} + 2 x : - x (x + 1) (x - 1) (3 x + 1) (x + 2)

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

解く

x + 1 = 0 : x = - 1

解く

x - 1 = 0 : x = 1

解く

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

解く

x + 2 = 0 : x = - 2

解答は

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

グラフ

人気の例

x^{7} - 7 x - 2 = 0

x^3-7x^2+11x-5=0

x^{3} - 7 x^{2} + 11 x - 5 = 0

z^{3} = - i

x^3-5x^2-6x-8=0

x^{3} - 5 x^{2} - 6 x - 8 = 0

(x-4)^4+(x-6)^4=34

(x - 4)^{4} + (x - 6)^{4} = 34