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人気のある代数 >

-2x(x^2-10)(x^2+4)=0

解

- 2 x (x^{2} - 10) (x^{2} + 4) = 0

解

x = 0, x = 2 i, x = - 2 i, x = - 10, x = 10

解答ステップ

- 2 x (x^{2} - 10) (x^{2} + 4) = 0

因数

- 2 x (x^{2} - 10) (x^{2} + 4) : - 2 x (x^{2} + 4) (x + 10) (x - 10)

- 2 x (x^{2} + 4) (x + 10) (x - 10) = 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} + 4 = 0 or x + 10 = 0 or x - 10 = 0

解く

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

解く

x + 10 = 0 : x = - 10

解く

x - 10 = 0 : x = 10

解答は

x = 0, x = 2 i, x = - 2 i, x = - 10, x = 10

グラフ

人気の例

y^{4} + y^{2} - 2 = 0

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

x^3-7x^2+x-7=x^2+1

x^{3} - 7 x^{2} + x - 7 = x^{2} + 1

x^3-7x^2+14x-6=0

x^{3} - 7 x^{2} + 14 x - 6 = 0

u^{3} = 8000