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人気のある代数 >

-x(x^2-1)(x^2+4)=0

解

- x (x^{2} - 1) (x^{2} + 4) = 0

解

x = 0, x = - 1, x = 1, x = 2 i, x = - 2 i

解答ステップ

- x (x^{2} - 1) (x^{2} + 4) = 0

因数

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

- x (x + 1) (x - 1) (x^{2} + 4) = 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 x^{2} + 4 = 0

解く

x + 1 = 0 : x = - 1

解く

x - 1 = 0 : x = 1

解く

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

解答は

x = 0, x = - 1, x = 1, x = 2 i, x = - 2 i

グラフ

人気の例

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

-2(9x^2-49)(x^2-5)=0

- 2 (9 x^{2} - 49) (x^{2} - 5) = 0

x^4-7x^3+12x^2+4x-16=0

x^{4} - 7 x^{3} + 12 x^{2} + 4 x - 16 = 0

-9x^4-46x^2+5=0

- 9 x^{4} - 46 x^{2} + 5 = 0

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